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3 : 8 = 0{,}375",[591,1054,1056,1146,1164,1182],{"className":1055,"ariaHidden":622},[621],[591,1057,1059,1063,1137,1140,1143],{"className":1058},[626],[591,1060],{"className":1061,"style":1062},[630],"height:2.0074em;vertical-align:-0.686em;",[591,1064,1066,1071,1133],{"className":1065},[635],[591,1067],{"className":1068},[1069,1070],"mopen","nulldelimiter",[591,1072,1074],{"className":1073},[1029],[591,1075,1078,1124],{"className":1076},[780,1077],"vlist-t2",[591,1079,1081,1119],{"className":1080},[784],[591,1082,1085,1097,1107],{"className":1083,"style":1084},[788],"height:1.3214em;",[591,1086,1088,1091],{"style":1087},"top:-2.314em;",[591,1089],{"className":1090,"style":797},[796],[591,1092,1094],{"className":1093},[635],[591,1095,1036],{"className":1096},[635],[591,1098,1100,1103],{"style":1099},"top:-3.23em;",[591,1101],{"className":1102,"style":797},[796],[591,1104],{"className":1105,"style":814},[1106],"frac-line",[591,1108,1110,1113],{"style":1109},"top:-3.677em;",[591,1111],{"className":1112,"style":797},[796],[591,1114,1116],{"className":1115},[635],[591,1117,1033],{"className":1118},[635],[591,1120,1123],{"className":1121},[1122],"vlist-s","​",[591,1125,1127],{"className":1126},[784],[591,1128,1131],{"className":1129,"style":1130},[788],"height:0.686em;",[591,1132],{},[591,1134],{"className":1135},[1136,1070],"mclose",[591,1138],{"className":1139,"style":819},[818],[591,1141,744],{"className":1142},[823],[591,1144],{"className":1145,"style":819},[818],[591,1147,1149,1152,1155,1158,1161],{"className":1148},[626],[591,1150],{"className":1151,"style":676},[630],[591,1153,1033],{"className":1154},[635],[591,1156],{"className":1157,"style":819},[818],[591,1159,1043],{"className":1160},[823],[591,1162],{"className":1163,"style":819},[818],[591,1165,1167,1170,1173,1176,1179],{"className":1166},[626],[591,1168],{"className":1169,"style":676},[630],[591,1171,1036],{"className":1172},[635],[591,1174],{"className":1175,"style":819},[818],[591,1177,744],{"className":1178},[823],[591,1180],{"className":1181,"style":819},[818],[591,1183,1185,1188,1191,1197],{"className":1184},[626],[591,1186],{"className":1187,"style":631},[630],[591,1189,636],{"className":1190},[635],[591,1192,1194],{"className":1193},[635],[591,1195,644],{"className":1196},[643],[591,1198,648],{"className":1199},[635],[564,1201,1202,1203,1043],{},"Erweitern auf ",[591,1204,1206,1219],{"className":1205},[594],[591,1207,1209],{"className":1208},[598],[600,1210,1211],{"xmlns":602},[604,1212,1213,1217],{},[607,1214,1215],{},[610,1216,958],{},[614,1218,958],{"encoding":616},[591,1220,1222],{"className":1221,"ariaHidden":622},[621],[591,1223,1225,1228],{"className":1224},[626],[591,1226],{"className":1227,"style":676},[630],[591,1229,958],{"className":1230},[635],[591,1232,1234],{"className":1233},[1014],[591,1235,1237,1292],{"className":1236},[594],[591,1238,1240],{"className":1239},[598],[600,1241,1242],{"xmlns":602,"display":1023},[604,1243,1244,1289],{},[607,1245,1246,1254,1256,1275,1277,1284,1286],{},[1029,1247,1248,1251],{},[610,1249,1250],{},"7",[610,1252,1253],{},"20",[739,1255,744],{},[1029,1257,1258,1267],{},[607,1259,1260,1262,1265],{},[610,1261,1250],{},[739,1263,1264],{},"⋅",[610,1266,695],{},[607,1268,1269,1271,1273],{},[610,1270,1253],{},[739,1272,1264],{},[610,1274,695],{},[739,1276,744],{},[1029,1278,1279,1282],{},[610,1280,1281],{},"35",[610,1283,958],{},[739,1285,744],{},[610,1287,1288],{},"0,35",[614,1290,1291],{"encoding":616},"\\frac{7}{20} = \\frac{7 \\cdot 5}{20 \\cdot 5} = \\frac{35}{100} = 0{,}35",[591,1293,1295,1372,1475,1552],{"className":1294,"ariaHidden":622},[621],[591,1296,1298,1301,1363,1366,1369],{"className":1297},[626],[591,1299],{"className":1300,"style":1062},[630],[591,1302,1304,1307,1360],{"className":1303},[635],[591,1305],{"className":1306},[1069,1070],[591,1308,1310],{"className":1309},[1029],[591,1311,1313,1352],{"className":1312},[780,1077],[591,1314,1316,1349],{"className":1315},[784],[591,1317,1319,1330,1338],{"className":1318,"style":1084},[788],[591,1320,1321,1324],{"style":1087},[591,1322],{"className":1323,"style":797},[796],[591,1325,1327],{"className":1326},[635],[591,1328,1253],{"className":1329},[635],[591,1331,1332,1335],{"style":1099},[591,1333],{"className":1334,"style":797},[796],[591,1336],{"className":1337,"style":814},[1106],[591,1339,1340,1343],{"style":1109},[591,1341],{"className":1342,"style":797},[796],[591,1344,1346],{"className":1345},[635],[591,1347,1250],{"className":1348},[635],[591,1350,1123],{"className":1351},[1122],[591,1353,1355],{"className":1354},[784],[591,1356,1358],{"className":1357,"style":1130},[788],[591,1359],{},[591,1361],{"className":1362},[1136,1070],[591,1364],{"className":1365,"style":819},[818],[591,1367,744],{"className":1368},[823],[591,1370],{"className":1371,"style":819},[818],[591,1373,1375,1378,1466,1469,1472],{"className":1374},[626],[591,1376],{"className":1377,"style":1062},[630],[591,1379,1381,1384,1463],{"className":1380},[635],[591,1382],{"className":1383},[1069,1070],[591,1385,1387],{"className":1386},[1029],[591,1388,1390,1455],{"className":1389},[780,1077],[591,1391,1393,1452],{"className":1392},[784],[591,1394,1396,1421,1429],{"className":1395,"style":1084},[788],[591,1397,1398,1401],{"style":1087},[591,1399],{"className":1400,"style":797},[796],[591,1402,1404,1407,1411,1415,1418],{"className":1403},[635],[591,1405,1253],{"className":1406},[635],[591,1408],{"className":1409,"style":1410},[818],"margin-right:0.2222em;",[591,1412,1264],{"className":1413},[1414],"mbin",[591,1416],{"className":1417,"style":1410},[818],[591,1419,695],{"className":1420},[635],[591,1422,1423,1426],{"style":1099},[591,1424],{"className":1425,"style":797},[796],[591,1427],{"className":1428,"style":814},[1106],[591,1430,1431,1434],{"style":1109},[591,1432],{"className":1433,"style":797},[796],[591,1435,1437,1440,1443,1446,1449],{"className":1436},[635],[591,1438,1250],{"className":1439},[635],[591,1441],{"className":1442,"style":1410},[818],[591,1444,1264],{"className":1445},[1414],[591,1447],{"className":1448,"style":1410},[818],[591,1450,695],{"className":1451},[635],[591,1453,1123],{"className":1454},[1122],[591,1456,1458],{"className":1457},[784],[591,1459,1461],{"className":1460,"style":1130},[788],[591,1462],{},[591,1464],{"className":1465},[1136,1070],[591,1467],{"className":1468,"style":819},[818],[591,1470,744],{"className":1471},[823],[591,1473],{"className":1474,"style":819},[818],[591,1476,1478,1481,1543,1546,1549],{"className":1477},[626],[591,1479],{"className":1480,"style":1062},[630],[591,1482,1484,1487,1540],{"className":1483},[635],[591,1485],{"className":1486},[1069,1070],[591,1488,1490],{"className":1489},[1029],[591,1491,1493,1532],{"className":1492},[780,1077],[591,1494,1496,1529],{"className":1495},[784],[591,1497,1499,1510,1518],{"className":1498,"style":1084},[788],[591,1500,1501,1504],{"style":1087},[591,1502],{"className":1503,"style":797},[796],[591,1505,1507],{"className":1506},[635],[591,1508,958],{"className":1509},[635],[591,1511,1512,1515],{"style":1099},[591,1513],{"className":1514,"style":797},[796],[591,1516],{"className":1517,"style":814},[1106],[591,1519,1520,1523],{"style":1109},[591,1521],{"className":1522,"style":797},[796],[591,1524,1526],{"className":1525},[635],[591,1527,1281],{"className":1528},[635],[591,1530,1123],{"className":1531},[1122],[591,1533,1535],{"className":1534},[784],[591,1536,1538],{"className":1537,"style":1130},[788],[591,1539],{},[591,1541],{"className":1542},[1136,1070],[591,1544],{"className":1545,"style":819},[818],[591,1547,744],{"className":1548},[823],[591,1550],{"className":1551,"style":819},[818],[591,1553,1555,1558,1561,1567],{"className":1554},[626],[591,1556],{"className":1557,"style":631},[630],[591,1559,636],{"className":1560},[635],[591,1562,1564],{"className":1563},[635],[591,1565,644],{"className":1566},[643],[591,1568,1281],{"className":1569},[635],[564,1571,1572],{},"Periodische Dezimalzahlen:",[591,1574,1576],{"className":1575},[1014],[591,1577,1579,1648],{"className":1578},[594],[591,1580,1582],{"className":1581},[598],[600,1583,1584],{"xmlns":602,"display":1023},[604,1585,1586,1645],{},[607,1587,1588,1594,1596,1598,1604,1607,1614,1616,1618,1625,1627,1634,1636,1639],{},[1029,1589,1590,1592],{},[610,1591,664],{},[610,1593,1033],{},[739,1595,744],{},[610,1597,731],{},[733,1599,1600,1602],{"accent":622},[610,1601,737],{},[739,1603,741],{"stretchy":622},[818,1605],{"width":1606},"2em",[1029,1608,1609,1611],{},[610,1610,695],{},[610,1612,1613],{},"11",[739,1615,744],{},[610,1617,731],{},[733,1619,1620,1623],{"accent":622},[610,1621,1622],{},"45",[739,1624,741],{"stretchy":622},[818,1626],{"width":1606},[1029,1628,1629,1632],{},[610,1630,1631],{},"1",[610,1633,737],{},[739,1635,744],{},[610,1637,1638],{},"0,1",[733,1640,1641,1643],{"accent":622},[610,1642,737],{},[739,1644,741],{"stretchy":622},[614,1646,1647],{"encoding":616},"\\frac{2}{3} = 0{,}\\overline{6} \\qquad \\frac{5}{11} = 0{,}\\overline{45} \\qquad \\frac{1}{6} = 0{,}1\\overline{6}",[591,1649,1651,1728,1849,1969],{"className":1650,"ariaHidden":622},[621],[591,1652,1654,1657,1719,1722,1725],{"className":1653},[626],[591,1655],{"className":1656,"style":1062},[630],[591,1658,1660,1663,1716],{"className":1659},[635],[591,1661],{"className":1662},[1069,1070],[591,1664,1666],{"className":1665},[1029],[591,1667,1669,1708],{"className":1668},[780,1077],[591,1670,1672,1705],{"className":1671},[784],[591,1673,1675,1686,1694],{"className":1674,"style":1084},[788],[591,1676,1677,1680],{"style":1087},[591,1678],{"className":1679,"style":797},[796],[591,1681,1683],{"className":1682},[635],[591,1684,1033],{"className":1685},[635],[591,1687,1688,1691],{"style":1099},[591,1689],{"className":1690,"style":797},[796],[591,1692],{"className":1693,"style":814},[1106],[591,1695,1696,1699],{"style":1109},[591,1697],{"className":1698,"style":797},[796],[591,1700,1702],{"className":1701},[635],[591,1703,664],{"className":1704},[635],[591,1706,1123],{"className":1707},[1122],[591,1709,1711],{"className":1710},[784],[591,1712,1714],{"className":1713,"style":1130},[788],[591,1715],{},[591,1717],{"className":1718},[1136,1070],[591,1720],{"className":1721,"style":819},[818],[591,1723,744],{"className":1724},[823],[591,1726],{"className":1727,"style":819},[818],[591,1729,1731,1734,1737,1743,1774,1778,1840,1843,1846],{"className":1730},[626],[591,1732],{"className":1733,"style":1062},[630],[591,1735,636],{"className":1736},[635],[591,1738,1740],{"className":1739},[635],[591,1741,644],{"className":1742},[643],[591,1744,1746],{"className":1745},[635,776],[591,1747,1749],{"className":1748},[780],[591,1750,1752],{"className":1751},[784],[591,1753,1755,1766],{"className":1754,"style":789},[788],[591,1756,1757,1760],{"style":792},[591,1758],{"className":1759,"style":797},[796],[591,1761,1763],{"className":1762},[635],[591,1764,737],{"className":1765},[635],[591,1767,1768,1771],{"style":806},[591,1769],{"className":1770,"style":797},[796],[591,1772],{"className":1773,"style":814},[813],[591,1775],{"className":1776,"style":1777},[818],"margin-right:2em;",[591,1779,1781,1784,1837],{"className":1780},[635],[591,1782],{"className":1783},[1069,1070],[591,1785,1787],{"className":1786},[1029],[591,1788,1790,1829],{"className":1789},[780,1077],[591,1791,1793,1826],{"className":1792},[784],[591,1794,1796,1807,1815],{"className":1795,"style":1084},[788],[591,1797,1798,1801],{"style":1087},[591,1799],{"className":1800,"style":797},[796],[591,1802,1804],{"className":1803},[635],[591,1805,1613],{"className":1806},[635],[591,1808,1809,1812],{"style":1099},[591,1810],{"className":1811,"style":797},[796],[591,1813],{"className":1814,"style":814},[1106],[591,1816,1817,1820],{"style":1109},[591,1818],{"className":1819,"style":797},[796],[591,1821,1823],{"className":1822},[635],[591,1824,695],{"className":1825},[635],[591,1827,1123],{"className":1828},[1122],[591,1830,1832],{"className":1831},[784],[591,1833,1835],{"className":1834,"style":1130},[788],[591,1836],{},[591,1838],{"className":1839},[1136,1070],[591,1841],{"className":1842,"style":819},[818],[591,1844,744],{"className":1845},[823],[591,1847],{"className":1848,"style":819},[818],[591,1850,1852,1855,1858,1864,1895,1898,1960,1963,1966],{"className":1851},[626],[591,1853],{"className":1854,"style":1062},[630],[591,1856,636],{"className":1857},[635],[591,1859,1861],{"className":1860},[635],[591,1862,644],{"className":1863},[643],[591,1865,1867],{"className":1866},[635,776],[591,1868,1870],{"className":1869},[780],[591,1871,1873],{"className":1872},[784],[591,1874,1876,1887],{"className":1875,"style":789},[788],[591,1877,1878,1881],{"style":792},[591,1879],{"className":1880,"style":797},[796],[591,1882,1884],{"className":1883},[635],[591,1885,1622],{"className":1886},[635],[591,1888,1889,1892],{"style":806},[591,1890],{"className":1891,"style":797},[796],[591,1893],{"className":1894,"style":814},[813],[591,1896],{"className":1897,"style":1777},[818],[591,1899,1901,1904,1957],{"className":1900},[635],[591,1902],{"className":1903},[1069,1070],[591,1905,1907],{"className":1906},[1029],[591,1908,1910,1949],{"className":1909},[780,1077],[591,1911,1913,1946],{"className":1912},[784],[591,1914,1916,1927,1935],{"className":1915,"style":1084},[788],[591,1917,1918,1921],{"style":1087},[591,1919],{"className":1920,"style":797},[796],[591,1922,1924],{"className":1923},[635],[591,1925,737],{"className":1926},[635],[591,1928,1929,1932],{"style":1099},[591,1930],{"className":1931,"style":797},[796],[591,1933],{"className":1934,"style":814},[1106],[591,1936,1937,1940],{"style":1109},[591,1938],{"className":1939,"style":797},[796],[591,1941,1943],{"className":1942},[635],[591,1944,1631],{"className":1945},[635],[591,1947,1123],{"className":1948},[1122],[591,1950,1952],{"className":1951},[784],[591,1953,1955],{"className":1954,"style":1130},[788],[591,1956],{},[591,1958],{"className":1959},[1136,1070],[591,1961],{"className":1962,"style":819},[818],[591,1964,744],{"className":1965},[823],[591,1967],{"className":1968,"style":819},[818],[591,1970,1972,1975,1978,1984,1987],{"className":1971},[626],[591,1973],{"className":1974,"style":763},[630],[591,1976,636],{"className":1977},[635],[591,1979,1981],{"className":1980},[635],[591,1982,644],{"className":1983},[643],[591,1985,1631],{"className":1986},[635],[591,1988,1990],{"className":1989},[635,776],[591,1991,1993],{"className":1992},[780],[591,1994,1996],{"className":1995},[784],[591,1997,1999,2010],{"className":1998,"style":789},[788],[591,2000,2001,2004],{"style":792},[591,2002],{"className":2003,"style":797},[796],[591,2005,2007],{"className":2006},[635],[591,2008,737],{"className":2009},[635],[591,2011,2012,2015],{"style":806},[591,2013],{"className":2014,"style":797},[796],[591,2016],{"className":2017,"style":814},[813],[564,2019,2020,2021,2128],{},"Bei ",[591,2022,2024,2042],{"className":2023},[594],[591,2025,2027],{"className":2026},[598],[600,2028,2029],{"xmlns":602},[604,2030,2031,2039],{},[607,2032,2033],{},[1029,2034,2035,2037],{},[610,2036,1631],{},[610,2038,737],{},[614,2040,2041],{"encoding":616},"\\frac{1}{6}",[591,2043,2045],{"className":2044,"ariaHidden":622},[621],[591,2046,2048,2052],{"className":2047},[626],[591,2049],{"className":2050,"style":2051},[630],"height:1.1901em;vertical-align:-0.345em;",[591,2053,2055,2058,2125],{"className":2054},[635],[591,2056],{"className":2057},[1069,1070],[591,2059,2061],{"className":2060},[1029],[591,2062,2064,2116],{"className":2063},[780,1077],[591,2065,2067,2113],{"className":2066},[784],[591,2068,2071,2090,2098],{"className":2069,"style":2070},[788],"height:0.8451em;",[591,2072,2074,2077],{"style":2073},"top:-2.655em;",[591,2075],{"className":2076,"style":797},[796],[591,2078,2084],{"className":2079},[2080,2081,2082,2083],"sizing","reset-size6","size3","mtight",[591,2085,2087],{"className":2086},[635,2083],[591,2088,737],{"className":2089},[635,2083],[591,2091,2092,2095],{"style":1099},[591,2093],{"className":2094,"style":797},[796],[591,2096],{"className":2097,"style":814},[1106],[591,2099,2101,2104],{"style":2100},"top:-3.394em;",[591,2102],{"className":2103,"style":797},[796],[591,2105,2107],{"className":2106},[2080,2081,2082,2083],[591,2108,2110],{"className":2109},[635,2083],[591,2111,1631],{"className":2112},[635,2083],[591,2114,1123],{"className":2115},[1122],[591,2117,2119],{"className":2118},[784],[591,2120,2123],{"className":2121,"style":2122},[788],"height:0.345em;",[591,2124],{},[591,2126],{"className":2127},[1136,1070]," beginnt die Periode erst nach der ersten Nachkommastelle.",[564,2130,2131],{},"Rückweg für eine Periode direkt nach dem Komma: Die Periode kommt in den Zähler, in den Nenner so viele Neunen, wie die Periode Ziffern hat:",[591,2133,2135],{"className":2134},[1014],[591,2136,2138,2175],{"className":2137},[594],[591,2139,2141],{"className":2140},[598],[600,2142,2143],{"xmlns":602,"display":1023},[604,2144,2145,2172],{},[607,2146,2147,2149,2155,2157,2164,2166],{},[610,2148,731],{},[733,2150,2151,2153],{"accent":622},[610,2152,1622],{},[739,2154,741],{"stretchy":622},[739,2156,744],{},[1029,2158,2159,2161],{},[610,2160,1622],{},[610,2162,2163],{},"99",[739,2165,744],{},[1029,2167,2168,2170],{},[610,2169,695],{},[610,2171,1613],{},[614,2173,2174],{"encoding":616},"0{,}\\overline{45} = \\frac{45}{99} = \\frac{5}{11}",[591,2176,2178,2233,2310],{"className":2177,"ariaHidden":622},[621],[591,2179,2181,2184,2187,2193,2224,2227,2230],{"className":2180},[626],[591,2182],{"className":2183,"style":763},[630],[591,2185,636],{"className":2186},[635],[591,2188,2190],{"className":2189},[635],[591,2191,644],{"className":2192},[643],[591,2194,2196],{"className":2195},[635,776],[591,2197,2199],{"className":2198},[780],[591,2200,2202],{"className":2201},[784],[591,2203,2205,2216],{"className":2204,"style":789},[788],[591,2206,2207,2210],{"style":792},[591,2208],{"className":2209,"style":797},[796],[591,2211,2213],{"className":2212},[635],[591,2214,1622],{"className":2215},[635],[591,2217,2218,2221],{"style":806},[591,2219],{"className":2220,"style":797},[796],[591,2222],{"className":2223,"style":814},[813],[591,2225],{"className":2226,"style":819},[818],[591,2228,744],{"className":2229},[823],[591,2231],{"className":2232,"style":819},[818],[591,2234,2236,2239,2301,2304,2307],{"className":2235},[626],[591,2237],{"className":2238,"style":1062},[630],[591,2240,2242,2245,2298],{"className":2241},[635],[591,2243],{"className":2244},[1069,1070],[591,2246,2248],{"className":2247},[1029],[591,2249,2251,2290],{"className":2250},[780,1077],[591,2252,2254,2287],{"className":2253},[784],[591,2255,2257,2268,2276],{"className":2256,"style":1084},[788],[591,2258,2259,2262],{"style":1087},[591,2260],{"className":2261,"style":797},[796],[591,2263,2265],{"className":2264},[635],[591,2266,2163],{"className":2267},[635],[591,2269,2270,2273],{"style":1099},[591,2271],{"className":2272,"style":797},[796],[591,2274],{"className":2275,"style":814},[1106],[591,2277,2278,2281],{"style":1109},[591,2279],{"className":2280,"style":797},[796],[591,2282,2284],{"className":2283},[635],[591,2285,1622],{"className":2286},[635],[591,2288,1123],{"className":2289},[1122],[591,2291,2293],{"className":2292},[784],[591,2294,2296],{"className":2295,"style":1130},[788],[591,2297],{},[591,2299],{"className":2300},[1136,1070],[591,2302],{"className":2303,"style":819},[818],[591,2305,744],{"className":2306},[823],[591,2308],{"className":2309,"style":819},[818],[591,2311,2313,2316],{"className":2312},[626],[591,2314],{"className":2315,"style":1062},[630],[591,2317,2319,2322,2375],{"className":2318},[635],[591,2320],{"className":2321},[1069,1070],[591,2323,2325],{"className":2324},[1029],[591,2326,2328,2367],{"className":2327},[780,1077],[591,2329,2331,2364],{"className":2330},[784],[591,2332,2334,2345,2353],{"className":2333,"style":1084},[788],[591,2335,2336,2339],{"style":1087},[591,2337],{"className":2338,"style":797},[796],[591,2340,2342],{"className":2341},[635],[591,2343,1613],{"className":2344},[635],[591,2346,2347,2350],{"style":1099},[591,2348],{"className":2349,"style":797},[796],[591,2351],{"className":2352,"style":814},[1106],[591,2354,2355,2358],{"style":1109},[591,2356],{"className":2357,"style":797},[796],[591,2359,2361],{"className":2360},[635],[591,2362,695],{"className":2363},[635],[591,2365,1123],{"className":2366},[1122],[591,2368,2370],{"className":2369},[784],[591,2371,2373],{"className":2372,"style":1130},[788],[591,2374],{},[591,2376],{"className":2377},[1136,1070],[559,2379,2381],{"id":2380},"typische-fehler","Typische Fehler",[580,2383,2384,2563,2778],{},[583,2385,2386,2387,2485,2486,2525,2526,1003],{},"Zähler und Nenner als Vorkomma- und Nachkommastellen lesen: ",[591,2388,2390,2408],{"className":2389},[594],[591,2391,2393],{"className":2392},[598],[600,2394,2395],{"xmlns":602},[604,2396,2397,2405],{},[607,2398,2399],{},[1029,2400,2401,2403],{},[610,2402,1033],{},[610,2404,1036],{},[614,2406,2407],{"encoding":616},"\\frac{3}{8}",[591,2409,2411],{"className":2410,"ariaHidden":622},[621],[591,2412,2414,2417],{"className":2413},[626],[591,2415],{"className":2416,"style":2051},[630],[591,2418,2420,2423,2482],{"className":2419},[635],[591,2421],{"className":2422},[1069,1070],[591,2424,2426],{"className":2425},[1029],[591,2427,2429,2474],{"className":2428},[780,1077],[591,2430,2432,2471],{"className":2431},[784],[591,2433,2435,2449,2457],{"className":2434,"style":2070},[788],[591,2436,2437,2440],{"style":2073},[591,2438],{"className":2439,"style":797},[796],[591,2441,2443],{"className":2442},[2080,2081,2082,2083],[591,2444,2446],{"className":2445},[635,2083],[591,2447,1036],{"className":2448},[635,2083],[591,2450,2451,2454],{"style":1099},[591,2452],{"className":2453,"style":797},[796],[591,2455],{"className":2456,"style":814},[1106],[591,2458,2459,2462],{"style":2100},[591,2460],{"className":2461,"style":797},[796],[591,2463,2465],{"className":2464},[2080,2081,2082,2083],[591,2466,2468],{"className":2467},[635,2083],[591,2469,1033],{"className":2470},[635,2083],[591,2472,1123],{"className":2473},[1122],[591,2475,2477],{"className":2476},[784],[591,2478,2480],{"className":2479,"style":2122},[788],[591,2481],{},[591,2483],{"className":2484},[1136,1070]," ist nicht ",[591,2487,2489,2504],{"className":2488},[594],[591,2490,2492],{"className":2491},[598],[600,2493,2494],{"xmlns":602},[604,2495,2496,2501],{},[607,2497,2498],{},[610,2499,2500],{},"3,8",[614,2502,2503],{"encoding":616},"3{,}8",[591,2505,2507],{"className":2506,"ariaHidden":622},[621],[591,2508,2510,2513,2516,2522],{"className":2509},[626],[591,2511],{"className":2512,"style":631},[630],[591,2514,1033],{"className":2515},[635],[591,2517,2519],{"className":2518},[635],[591,2520,644],{"className":2521},[643],[591,2523,1036],{"className":2524},[635],", sondern ",[591,2527,2529,2542],{"className":2528},[594],[591,2530,2532],{"className":2531},[598],[600,2533,2534],{"xmlns":602},[604,2535,2536,2540],{},[607,2537,2538],{},[610,2539,612],{},[614,2541,617],{"encoding":616},[591,2543,2545],{"className":2544,"ariaHidden":622},[621],[591,2546,2548,2551,2554,2560],{"className":2547},[626],[591,2549],{"className":2550,"style":631},[630],[591,2552,636],{"className":2553},[635],[591,2555,2557],{"className":2556},[635],[591,2558,644],{"className":2559},[643],[591,2561,648],{"className":2562},[635],[583,2564,2565,2566,2638,2639,943,2737,2777],{},"Eine Periode wie eine gerundete Zahl behandeln: ",[591,2567,2569,2589],{"className":2568},[594],[591,2570,2572],{"className":2571},[598],[600,2573,2574],{"xmlns":602},[604,2575,2576,2586],{},[607,2577,2578,2580],{},[610,2579,731],{},[733,2581,2582,2584],{"accent":622},[610,2583,737],{},[739,2585,741],{"stretchy":622},[614,2587,2588],{"encoding":616},"0{,}\\overline{6}",[591,2590,2592],{"className":2591,"ariaHidden":622},[621],[591,2593,2595,2598,2601,2607],{"className":2594},[626],[591,2596],{"className":2597,"style":763},[630],[591,2599,636],{"className":2600},[635],[591,2602,2604],{"className":2603},[635],[591,2605,644],{"className":2606},[643],[591,2608,2610],{"className":2609},[635,776],[591,2611,2613],{"className":2612},[780],[591,2614,2616],{"className":2615},[784],[591,2617,2619,2630],{"className":2618,"style":789},[788],[591,2620,2621,2624],{"style":792},[591,2622],{"className":2623,"style":797},[796],[591,2625,2627],{"className":2626},[635],[591,2628,737],{"className":2629},[635],[591,2631,2632,2635],{"style":806},[591,2633],{"className":2634,"style":797},[796],[591,2636],{"className":2637,"style":814},[813]," ist genau ",[591,2640,2642,2660],{"className":2641},[594],[591,2643,2645],{"className":2644},[598],[600,2646,2647],{"xmlns":602},[604,2648,2649,2657],{},[607,2650,2651],{},[1029,2652,2653,2655],{},[610,2654,664],{},[610,2656,1033],{},[614,2658,2659],{"encoding":616},"\\frac{2}{3}",[591,2661,2663],{"className":2662,"ariaHidden":622},[621],[591,2664,2666,2669],{"className":2665},[626],[591,2667],{"className":2668,"style":2051},[630],[591,2670,2672,2675,2734],{"className":2671},[635],[591,2673],{"className":2674},[1069,1070],[591,2676,2678],{"className":2677},[1029],[591,2679,2681,2726],{"className":2680},[780,1077],[591,2682,2684,2723],{"className":2683},[784],[591,2685,2687,2701,2709],{"className":2686,"style":2070},[788],[591,2688,2689,2692],{"style":2073},[591,2690],{"className":2691,"style":797},[796],[591,2693,2695],{"className":2694},[2080,2081,2082,2083],[591,2696,2698],{"className":2697},[635,2083],[591,2699,1033],{"className":2700},[635,2083],[591,2702,2703,2706],{"style":1099},[591,2704],{"className":2705,"style":797},[796],[591,2707],{"className":2708,"style":814},[1106],[591,2710,2711,2714],{"style":2100},[591,2712],{"className":2713,"style":797},[796],[591,2715,2717],{"className":2716},[2080,2081,2082,2083],[591,2718,2720],{"className":2719},[635,2083],[591,2721,664],{"className":2722},[635,2083],[591,2724,1123],{"className":2725},[1122],[591,2727,2729],{"className":2728},[784],[591,2730,2732],{"className":2731,"style":2122},[788],[591,2733],{},[591,2735],{"className":2736},[1136,1070],[591,2738,2740,2755],{"className":2739},[594],[591,2741,2743],{"className":2742},[598],[600,2744,2745],{"xmlns":602},[604,2746,2747,2752],{},[607,2748,2749],{},[610,2750,2751],{},"0,67",[614,2753,2754],{"encoding":616},"0{,}67",[591,2756,2758],{"className":2757,"ariaHidden":622},[621],[591,2759,2761,2764,2767,2773],{"className":2760},[626],[591,2762],{"className":2763,"style":631},[630],[591,2765,636],{"className":2766},[635],[591,2768,2770],{"className":2769},[635],[591,2771,644],{"className":2772},[643],[591,2774,2776],{"className":2775},[635],"67"," ist nur ein gerundeter Wert.",[583,2779,2780,2781,2988,2989],{},"Die Periode an der falschen Stelle setzen: ",[591,2782,2784,2819],{"className":2783},[594],[591,2785,2787],{"className":2786},[598],[600,2788,2789],{"xmlns":602},[604,2790,2791,2816],{},[607,2792,2793,2799,2801,2804,2806,2808,2810],{},[1029,2794,2795,2797],{},[610,2796,1631],{},[610,2798,737],{},[739,2800,744],{},[610,2802,2803],{},"0,1666",[739,2805,750],{},[739,2807,744],{},[610,2809,1638],{},[733,2811,2812,2814],{"accent":622},[610,2813,737],{},[739,2815,741],{"stretchy":622},[614,2817,2818],{"encoding":616},"\\frac{1}{6} = 0{,}1666\\ldots = 0{,}1\\overline{6}",[591,2820,2822,2905,2939],{"className":2821,"ariaHidden":622},[621],[591,2823,2825,2828,2896,2899,2902],{"className":2824},[626],[591,2826],{"className":2827,"style":2051},[630],[591,2829,2831,2834,2893],{"className":2830},[635],[591,2832],{"className":2833},[1069,1070],[591,2835,2837],{"className":2836},[1029],[591,2838,2840,2885],{"className":2839},[780,1077],[591,2841,2843,2882],{"className":2842},[784],[591,2844,2846,2860,2868],{"className":2845,"style":2070},[788],[591,2847,2848,2851],{"style":2073},[591,2849],{"className":2850,"style":797},[796],[591,2852,2854],{"className":2853},[2080,2081,2082,2083],[591,2855,2857],{"className":2856},[635,2083],[591,2858,737],{"className":2859},[635,2083],[591,2861,2862,2865],{"style":1099},[591,2863],{"className":2864,"style":797},[796],[591,2866],{"className":2867,"style":814},[1106],[591,2869,2870,2873],{"style":2100},[591,2871],{"className":2872,"style":797},[796],[591,2874,2876],{"className":2875},[2080,2081,2082,2083],[591,2877,2879],{"className":2878},[635,2083],[591,2880,1631],{"className":2881},[635,2083],[591,2883,1123],{"className":2884},[1122],[591,2886,2888],{"className":2887},[784],[591,2889,2891],{"className":2890,"style":2122},[788],[591,2892],{},[591,2894],{"className":2895},[1136,1070],[591,2897],{"className":2898,"style":819},[818],[591,2900,744],{"className":2901},[823],[591,2903],{"className":2904,"style":819},[818],[591,2906,2908,2911,2914,2920,2924,2927,2930,2933,2936],{"className":2907},[626],[591,2909],{"className":2910,"style":631},[630],[591,2912,636],{"className":2913},[635],[591,2915,2917],{"className":2916},[635],[591,2918,644],{"className":2919},[643],[591,2921,2923],{"className":2922},[635],"1666",[591,2925],{"className":2926,"style":849},[818],[591,2928,750],{"className":2929},[853],[591,2931],{"className":2932,"style":819},[818],[591,2934,744],{"className":2935},[823],[591,2937],{"className":2938,"style":819},[818],[591,2940,2942,2945,2948,2954,2957],{"className":2941},[626],[591,2943],{"className":2944,"style":763},[630],[591,2946,636],{"className":2947},[635],[591,2949,2951],{"className":2950},[635],[591,2952,644],{"className":2953},[643],[591,2955,1631],{"className":2956},[635],[591,2958,2960],{"className":2959},[635,776],[591,2961,2963],{"className":2962},[780],[591,2964,2966],{"className":2965},[784],[591,2967,2969,2980],{"className":2968,"style":789},[788],[591,2970,2971,2974],{"style":792},[591,2972],{"className":2973,"style":797},[796],[591,2975,2977],{"className":2976},[635],[591,2978,737],{"className":2979},[635],[591,2981,2982,2985],{"style":806},[591,2983],{"className":2984,"style":797},[796],[591,2986],{"className":2987,"style":814},[813],", nicht ",[591,2990,2992,3028],{"className":2991},[594],[591,2993,2995],{"className":2994},[598],[600,2996,2997],{"xmlns":602},[604,2998,2999,3025],{},[607,3000,3001,3003,3010,3012,3018,3020,3023],{},[610,3002,731],{},[733,3004,3005,3008],{"accent":622},[610,3006,3007],{},"16",[739,3009,741],{"stretchy":622},[739,3011,744],{},[1029,3013,3014,3016],{},[610,3015,3007],{},[610,3017,2163],{},[739,3019,744],{},[610,3021,3022],{},"0,161616",[739,3024,750],{},[614,3026,3027],{"encoding":616},"0{,}\\overline{16} = \\frac{16}{99} = 0{,}161616\\ldots",[591,3029,3031,3086,3169],{"className":3030,"ariaHidden":622},[621],[591,3032,3034,3037,3040,3046,3077,3080,3083],{"className":3033},[626],[591,3035],{"className":3036,"style":763},[630],[591,3038,636],{"className":3039},[635],[591,3041,3043],{"className":3042},[635],[591,3044,644],{"className":3045},[643],[591,3047,3049],{"className":3048},[635,776],[591,3050,3052],{"className":3051},[780],[591,3053,3055],{"className":3054},[784],[591,3056,3058,3069],{"className":3057,"style":789},[788],[591,3059,3060,3063],{"style":792},[591,3061],{"className":3062,"style":797},[796],[591,3064,3066],{"className":3065},[635],[591,3067,3007],{"className":3068},[635],[591,3070,3071,3074],{"style":806},[591,3072],{"className":3073,"style":797},[796],[591,3075],{"className":3076,"style":814},[813],[591,3078],{"className":3079,"style":819},[818],[591,3081,744],{"className":3082},[823],[591,3084],{"className":3085,"style":819},[818],[591,3087,3089,3092,3160,3163,3166],{"className":3088},[626],[591,3090],{"className":3091,"style":2051},[630],[591,3093,3095,3098,3157],{"className":3094},[635],[591,3096],{"className":3097},[1069,1070],[591,3099,3101],{"className":3100},[1029],[591,3102,3104,3149],{"className":3103},[780,1077],[591,3105,3107,3146],{"className":3106},[784],[591,3108,3110,3124,3132],{"className":3109,"style":2070},[788],[591,3111,3112,3115],{"style":2073},[591,3113],{"className":3114,"style":797},[796],[591,3116,3118],{"className":3117},[2080,2081,2082,2083],[591,3119,3121],{"className":3120},[635,2083],[591,3122,2163],{"className":3123},[635,2083],[591,3125,3126,3129],{"style":1099},[591,3127],{"className":3128,"style":797},[796],[591,3130],{"className":3131,"style":814},[1106],[591,3133,3134,3137],{"style":2100},[591,3135],{"className":3136,"style":797},[796],[591,3138,3140],{"className":3139},[2080,2081,2082,2083],[591,3141,3143],{"className":3142},[635,2083],[591,3144,3007],{"className":3145},[635,2083],[591,3147,1123],{"className":3148},[1122],[591,3150,3152],{"className":3151},[784],[591,3153,3155],{"className":3154,"style":2122},[788],[591,3156],{},[591,3158],{"className":3159},[1136,1070],[591,3161],{"className":3162,"style":819},[818],[591,3164,744],{"className":3165},[823],[591,3167],{"className":3168,"style":819},[818],[591,3170,3172,3175,3178,3184,3188,3191],{"className":3171},[626],[591,3173],{"className":3174,"style":631},[630],[591,3176,636],{"className":3177},[635],[591,3179,3181],{"className":3180},[635],[591,3182,644],{"className":3183},[643],[591,3185,3187],{"className":3186},[635],"161616",[591,3189],{"className":3190,"style":849},[818],[591,3192,750],{"className":3193},[853],{"title":3195,"searchDepth":3196,"depth":3196,"links":3197},"",2,[3198,3199,3200],{"id":561,"depth":3196,"text":562},{"id":1006,"depth":3196,"text":1007},{"id":2380,"depth":3196,"text":2381},[3202,3205,3208,3211,3214,3217,3220,3223,3226],{"lhs":3203,"rhs":3204},"a\u002Fb","a 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style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">:\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","lower",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Farithmetic\u002Fbruch-in-dezimalzahl",[],[3242,3243,3244],"fraction-reducing","mixed-number","prime-factorization",{"title":548,"description":3195},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Fbruch-in-dezimalzahl","Ein Bruch wird zur Dezimalzahl, indem man den Zähler durch den Nenner teilt; manchmal entsteht eine Periode.",[3249,3250,3251,3252],"bruch","dezimalzahl","periode","division",[3254,3258],{"symbol":3255,"meaning":3256,"symbolHtml":3257},"a","Zähler des Bruchs","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":3259,"meaning":3260,"symbolHtml":3261},"b","Nenner des Bruchs","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>b\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">b\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord 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