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",[581,1059,1061,1075],{"className":1060},[584],[581,1062,1064],{"className":1063},[588],[590,1065,1066],{"xmlns":592},[594,1067,1068,1073],{},[597,1069,1070],{},[694,1071,1072],{},"12",[611,1074,1072],{"encoding":613},[581,1076,1078],{"className":1077,"ariaHidden":619},[618],[581,1079,1081,1085],{"className":1080},[623],[581,1082],{"className":1083,"style":1084},[627],"height:0.6444em;",[581,1086,1072],{"className":1087},[632],":",[581,1090,1092],{"className":1091},[676],[581,1093,1095,1147],{"className":1094},[584],[581,1096,1098],{"className":1097},[588],[590,1099,1100],{"xmlns":592,"display":685},[594,1101,1102,1144],{},[597,1103,1104,1111,1113,1119,1121,1127,1129,1135,1137],{},[691,1105,1106,1109],{},[694,1107,1108],{},"1",[694,1110,728],{},[604,1112,702],{},[691,1114,1115,1117],{},[694,1116,1108],{},[694,1118,707],{},[604,1120,712],{},[691,1122,1123,1125],{},[694,1124,707],{},[694,1126,1072],{},[604,1128,702],{},[691,1130,1131,1133],{},[694,1132,728],{},[694,1134,1072],{},[604,1136,712],{},[691,1138,1139,1142],{},[694,1140,1141],{},"7",[694,1143,1072],{},[611,1145,1146],{"encoding":613},"\\frac{1}{3} + \\frac{1}{4} = \\frac{4}{12} + \\frac{3}{12} = \\frac{7}{12}",[581,1148,1150,1227,1304,1381,1458],{"className":1149,"ariaHidden":619},[618],[581,1151,1153,1156,1218,1221,1224],{"className":1152},[623],[581,1154],{"className":1155,"style":741},[627],[581,1157,1159,1162,1215],{"className":1158},[632],[581,1160],{"className":1161},[748,749],[581,1163,1165],{"className":1164},[691],[581,1166,1168,1207],{"className":1167},[756,757],[581,1169,1171,1204],{"className":1170},[761],[581,1172,1174,1185,1193],{"className":1173,"style":766},[765],[581,1175,1176,1179],{"style":769},[581,1177],{"className":1178,"style":774},[773],[581,1180,1182],{"className":1181},[632],[581,1183,728],{"className":1184},[632],[581,1186,1187,1190],{"style":783},[581,1188],{"className":1189,"style":774},[773],[581,1191],{"className":1192,"style":791},[790],[581,1194,1195,1198],{"style":794},[581,1196],{"className":1197,"style":774},[773],[581,1199,1201],{"className":1200},[632],[581,1202,1108],{"className":1203},[632],[581,1205,808],{"className":1206},[807],[581,1208,1210],{"className":1209},[761],[581,1211,1213],{"className":1212,"style":815},[765],[581,1214],{},[581,1216],{"className":1217},[821,749],[581,1219],{"className":1220,"style":638},[637],[581,1222,702],{"className":1223},[642],[581,1225],{"className":1226,"style":638},[637],[581,1228,1230,1233,1295,1298,1301],{"className":1229},[623],[581,1231],{"className":1232,"style":741},[627],[581,1234,1236,1239,1292],{"className":1235},[632],[581,1237],{"className":1238},[748,749],[581,1240,1242],{"className":1241},[691],[581,1243,1245,1284],{"className":1244},[756,757],[581,1246,1248,1281],{"className":1247},[761],[581,1249,1251,1262,1270],{"className":1250,"style":766},[765],[581,1252,1253,1256],{"style":769},[581,1254],{"className":1255,"style":774},[773],[581,1257,1259],{"className":1258},[632],[581,1260,707],{"className":1261},[632],[581,1263,1264,1267],{"style":783},[581,1265],{"className":1266,"style":774},[773],[581,1268],{"className":1269,"style":791},[790],[581,1271,1272,1275],{"style":794},[581,1273],{"className":1274,"style":774},[773],[581,1276,1278],{"className":1277},[632],[581,1279,1108],{"className":1280},[632],[581,1282,808],{"className":1283},[807],[581,1285,1287],{"className":1286},[761],[581,1288,1290],{"className":1289,"style":815},[765],[581,1291],{},[581,1293],{"className":1294},[821,749],[581,1296],{"className":1297,"style":902},[637],[581,1299,712],{"className":1300},[906],[581,1302],{"className":1303,"style":902},[637],[581,1305,1307,1310,1372,1375,1378],{"className":1306},[623],[581,1308],{"className":1309,"style":741},[627],[581,1311,1313,1316,1369],{"className":1312},[632],[581,1314],{"className":1315},[748,749],[581,1317,1319],{"className":1318},[691],[581,1320,1322,1361],{"className":1321},[756,757],[581,1323,1325,1358],{"className":1324},[761],[581,1326,1328,1339,1347],{"className":1327,"style":766},[765],[581,1329,1330,1333],{"style":769},[581,1331],{"className":1332,"style":774},[773],[581,1334,1336],{"className":1335},[632],[581,1337,1072],{"className":1338},[632],[581,1340,1341,1344],{"style":783},[581,1342],{"className":1343,"style":774},[773],[581,1345],{"className":1346,"style":791},[790],[581,1348,1349,1352],{"style":794},[581,1350],{"className":1351,"style":774},[773],[581,1353,1355],{"className":1354},[632],[581,1356,707],{"className":1357},[632],[581,1359,808],{"className":1360},[807],[581,1362,1364],{"className":1363},[761],[581,1365,1367],{"className":1366,"style":815},[765],[581,1368],{},[581,1370],{"className":1371},[821,749],[581,1373],{"className":1374,"style":638},[637],[581,1376,702],{"className":1377},[642],[581,1379],{"className":1380,"style":638},[637],[581,1382,1384,1387,1449,1452,1455],{"className":1383},[623],[581,1385],{"className":1386,"style":741},[627],[581,1388,1390,1393,1446],{"className":1389},[632],[581,1391],{"className":1392},[748,749],[581,1394,1396],{"className":1395},[691],[581,1397,1399,1438],{"className":1398},[756,757],[581,1400,1402,1435],{"className":1401},[761],[581,1403,1405,1416,1424],{"className":1404,"style":766},[765],[581,1406,1407,1410],{"style":769},[581,1408],{"className":1409,"style":774},[773],[581,1411,1413],{"className":1412},[632],[581,1414,1072],{"className":1415},[632],[581,1417,1418,1421],{"style":783},[581,1419],{"className":1420,"style":774},[773],[581,1422],{"className":1423,"style":791},[790],[581,1425,1426,1429],{"style":794},[581,1427],{"className":1428,"style":774},[773],[581,1430,1432],{"className":1431},[632],[581,1433,728],{"className":1434},[632],[581,1436,808],{"className":1437},[807],[581,1439,1441],{"className":1440},[761],[581,1442,1444],{"className":1443,"style":815},[765],[581,1445],{},[581,1447],{"className":1448},[821,749],[581,1450],{"className":1451,"style":902},[637],[581,1453,712],{"className":1454},[906],[581,1456],{"className":1457,"style":902},[637],[581,1459,1461,1464],{"className":1460},[623],[581,1462],{"className":1463,"style":741},[627],[581,1465,1467,1470,1523],{"className":1466},[632],[581,1468],{"className":1469},[748,749],[581,1471,1473],{"className":1472},[691],[581,1474,1476,1515],{"className":1475},[756,757],[581,1477,1479,1512],{"className":1478},[761],[581,1480,1482,1493,1501],{"className":1481,"style":766},[765],[581,1483,1484,1487],{"style":769},[581,1485],{"className":1486,"style":774},[773],[581,1488,1490],{"className":1489},[632],[581,1491,1072],{"className":1492},[632],[581,1494,1495,1498],{"style":783},[581,1496],{"className":1497,"style":774},[773],[581,1499],{"className":1500,"style":791},[790],[581,1502,1503,1506],{"style":794},[581,1504],{"className":1505,"style":774},[773],[581,1507,1509],{"className":1508},[632],[581,1510,1141],{"className":1511},[632],[581,1513,808],{"className":1514},[807],[581,1516,1518],{"className":1517},[761],[581,1519,1521],{"className":1520,"style":815},[765],[581,1522],{},[581,1524],{"className":1525},[821,749],[565,1527,1528,1529,1088],{},"Subtraktion mit dem Hauptnenner ",[581,1530,1532,1545],{"className":1531},[584],[581,1533,1535],{"className":1534},[588],[590,1536,1537],{"xmlns":592},[594,1538,1539,1543],{},[597,1540,1541],{},[694,1542,1072],{},[611,1544,1072],{"encoding":613},[581,1546,1548],{"className":1547,"ariaHidden":619},[618],[581,1549,1551,1554],{"className":1550},[623],[581,1552],{"className":1553,"style":1084},[627],[581,1555,1072],{"className":1556},[632],[581,1558,1560],{"className":1559},[676],[581,1561,1563,1616],{"className":1562},[584],[581,1564,1566],{"className":1565},[588],[590,1567,1568],{"xmlns":592,"display":685},[594,1569,1570,1613],{},[597,1571,1572,1579,1582,1588,1590,1597,1599,1605,1607],{},[691,1573,1574,1577],{},[694,1575,1576],{},"5",[694,1578,717],{},[604,1580,1581],{},"−",[691,1583,1584,1586],{},[694,1585,1108],{},[694,1587,707],{},[604,1589,712],{},[691,1591,1592,1595],{},[694,1593,1594],{},"10",[694,1596,1072],{},[604,1598,1581],{},[691,1600,1601,1603],{},[694,1602,728],{},[694,1604,1072],{},[604,1606,712],{},[691,1608,1609,1611],{},[694,1610,1141],{},[694,1612,1072],{},[611,1614,1615],{"encoding":613},"\\frac{5}{6} - \\frac{1}{4} = \\frac{10}{12} - \\frac{3}{12} = \\frac{7}{12}",[581,1617,1619,1696,1773,1850,1927],{"className":1618,"ariaHidden":619},[618],[581,1620,1622,1625,1687,1690,1693],{"className":1621},[623],[581,1623],{"className":1624,"style":741},[627],[581,1626,1628,1631,1684],{"className":1627},[632],[581,1629],{"className":1630},[748,749],[581,1632,1634],{"className":1633},[691],[581,1635,1637,1676],{"className":1636},[756,757],[581,1638,1640,1673],{"className":1639},[761],[581,1641,1643,1654,1662],{"className":1642,"style":766},[765],[581,1644,1645,1648],{"style":769},[581,1646],{"className":1647,"style":774},[773],[581,1649,1651],{"className":1650},[632],[581,1652,717],{"className":1653},[632],[581,1655,1656,1659],{"style":783},[581,1657],{"className":1658,"style":774},[773],[581,1660],{"className":1661,"style":791},[790],[581,1663,1664,1667],{"style":794},[581,1665],{"className":1666,"style":774},[773],[581,1668,1670],{"className":1669},[632],[581,1671,1576],{"className":1672},[632],[581,1674,808],{"className":1675},[807],[581,1677,1679],{"className":1678},[761],[581,1680,1682],{"className":1681,"style":815},[765],[581,1683],{},[581,1685],{"className":1686},[821,749],[581,1688],{"className":1689,"style":638},[637],[581,1691,1581],{"className":1692},[642],[581,1694],{"className":1695,"style":638},[637],[581,1697,1699,1702,1764,1767,1770],{"className":1698},[623],[581,1700],{"className":1701,"style":741},[627],[581,1703,1705,1708,1761],{"className":1704},[632],[581,1706],{"className":1707},[748,749],[581,1709,1711],{"className":1710},[691],[581,1712,1714,1753],{"className":1713},[756,757],[581,1715,1717,1750],{"className":1716},[761],[581,1718,1720,1731,1739],{"className":1719,"style":766},[765],[581,1721,1722,1725],{"style":769},[581,1723],{"className":1724,"style":774},[773],[581,1726,1728],{"className":1727},[632],[581,1729,707],{"className":1730},[632],[581,1732,1733,1736],{"style":783},[581,1734],{"className":1735,"style":774},[773],[581,1737],{"className":1738,"style":791},[790],[581,1740,1741,1744],{"style":794},[581,1742],{"className":1743,"style":774},[773],[581,1745,1747],{"className":1746},[632],[581,1748,1108],{"className":1749},[632],[581,1751,808],{"className":1752},[807],[581,1754,1756],{"className":1755},[761],[581,1757,1759],{"className":1758,"style":815},[765],[581,1760],{},[581,1762],{"className":1763},[821,749],[581,1765],{"className":1766,"style":902},[637],[581,1768,712],{"className":1769},[906],[581,1771],{"className":1772,"style":902},[637],[581,1774,1776,1779,1841,1844,1847],{"className":1775},[623],[581,1777],{"className":1778,"style":741},[627],[581,1780,1782,1785,1838],{"className":1781},[632],[581,1783],{"className":1784},[748,749],[581,1786,1788],{"className":1787},[691],[581,1789,1791,1830],{"className":1790},[756,757],[581,1792,1794,1827],{"className":1793},[761],[581,1795,1797,1808,1816],{"className":1796,"style":766},[765],[581,1798,1799,1802],{"style":769},[581,1800],{"className":1801,"style":774},[773],[581,1803,1805],{"className":1804},[632],[581,1806,1072],{"className":1807},[632],[581,1809,1810,1813],{"style":783},[581,1811],{"className":1812,"style":774},[773],[581,1814],{"className":1815,"style":791},[790],[581,1817,1818,1821],{"style":794},[581,1819],{"className":1820,"style":774},[773],[581,1822,1824],{"className":1823},[632],[581,1825,1594],{"className":1826},[632],[581,1828,808],{"className":1829},[807],[581,1831,1833],{"className":1832},[761],[581,1834,1836],{"className":1835,"style":815},[765],[581,1837],{},[581,1839],{"className":1840},[821,749],[581,1842],{"className":1843,"style":638},[637],[581,1845,1581],{"className":1846},[642],[581,1848],{"className":1849,"style":638},[637],[581,1851,1853,1856,1918,1921,1924],{"className":1852},[623],[581,1854],{"className":1855,"style":741},[627],[581,1857,1859,1862,1915],{"className":1858},[632],[581,1860],{"className":1861},[748,749],[581,1863,1865],{"className":1864},[691],[581,1866,1868,1907],{"className":1867},[756,757],[581,1869,1871,1904],{"className":1870},[761],[581,1872,1874,1885,1893],{"className":1873,"style":766},[765],[581,1875,1876,1879],{"style":769},[581,1877],{"className":1878,"style":774},[773],[581,1880,1882],{"className":1881},[632],[581,1883,1072],{"className":1884},[632],[581,1886,1887,1890],{"style":783},[581,1888],{"className":1889,"style":774},[773],[581,1891],{"className":1892,"style":791},[790],[581,1894,1895,1898],{"style":794},[581,1896],{"className":1897,"style":774},[773],[581,1899,1901],{"className":1900},[632],[581,1902,728],{"className":1903},[632],[581,1905,808],{"className":1906},[807],[581,1908,1910],{"className":1909},[761],[581,1911,1913],{"className":1912,"style":815},[765],[581,1914],{},[581,1916],{"className":1917},[821,749],[581,1919],{"className":1920,"style":902},[637],[581,1922,712],{"className":1923},[906],[581,1925],{"className":1926,"style":902},[637],[581,1928,1930,1933],{"className":1929},[623],[581,1931],{"className":1932,"style":741},[627],[581,1934,1936,1939,1992],{"className":1935},[632],[581,1937],{"className":1938},[748,749],[581,1940,1942],{"className":1941},[691],[581,1943,1945,1984],{"className":1944},[756,757],[581,1946,1948,1981],{"className":1947},[761],[581,1949,1951,1962,1970],{"className":1950,"style":766},[765],[581,1952,1953,1956],{"style":769},[581,1954],{"className":1955,"style":774},[773],[581,1957,1959],{"className":1958},[632],[581,1960,1072],{"className":1961},[632],[581,1963,1964,1967],{"style":783},[581,1965],{"className":1966,"style":774},[773],[581,1968],{"className":1969,"style":791},[790],[581,1971,1972,1975],{"style":794},[581,1973],{"className":1974,"style":774},[773],[581,1976,1978],{"className":1977},[632],[581,1979,1141],{"className":1980},[632],[581,1982,808],{"className":1983},[807],[581,1985,1987],{"className":1986},[761],[581,1988,1990],{"className":1989,"style":815},[765],[581,1991],{},[581,1993],{"className":1994},[821,749],[565,1996,1997,1998,2072],{},"Mit der Formel und dem Nenner ",[581,1999,2001,2024],{"className":2000},[584],[581,2002,2004],{"className":2003},[588],[590,2005,2006],{"xmlns":592},[594,2007,2008,2021],{},[597,2009,2010,2012,2014,2016,2018],{},[694,2011,717],{},[604,2013,606],{},[694,2015,707],{},[604,2017,712],{},[694,2019,2020],{},"24",[611,2022,2023],{"encoding":613},"6 \\cdot 4 = 24",[581,2025,2027,2045,2063],{"className":2026,"ariaHidden":619},[618],[581,2028,2030,2033,2036,2039,2042],{"className":2029},[623],[581,2031],{"className":2032,"style":1084},[627],[581,2034,717],{"className":2035},[632],[581,2037],{"className":2038,"style":638},[637],[581,2040,606],{"className":2041},[642],[581,2043],{"className":2044,"style":638},[637],[581,2046,2048,2051,2054,2057,2060],{"className":2047},[623],[581,2049],{"className":2050,"style":1084},[627],[581,2052,707],{"className":2053},[632],[581,2055],{"className":2056,"style":902},[637],[581,2058,712],{"className":2059},[906],[581,2061],{"className":2062,"style":902},[637],[581,2064,2066,2069],{"className":2065},[623],[581,2067],{"className":2068,"style":1084},[627],[581,2070,2020],{"className":2071},[632]," kommt dasselbe heraus, man muss aber noch kürzen:",[581,2074,2076],{"className":2075},[676],[581,2077,2079,2134],{"className":2078},[584],[581,2080,2082],{"className":2081},[588],[590,2083,2084],{"xmlns":592,"display":685},[594,2085,2086,2131],{},[597,2087,2088,2114,2116,2123,2125],{},[691,2089,2090,2106],{},[597,2091,2092,2094,2096,2098,2100,2102,2104],{},[694,2093,1576],{},[604,2095,606],{},[694,2097,707],{},[604,2099,1581],{},[694,2101,717],{},[604,2103,606],{},[694,2105,1108],{},[597,2107,2108,2110,2112],{},[694,2109,717],{},[604,2111,606],{},[694,2113,707],{},[604,2115,712],{},[691,2117,2118,2121],{},[694,2119,2120],{},"14",[694,2122,2020],{},[604,2124,712],{},[691,2126,2127,2129],{},[694,2128,1141],{},[694,2130,1072],{},[611,2132,2133],{"encoding":613},"\\frac{5 \\cdot 4 - 6 \\cdot 1}{6 \\cdot 4} = \\frac{14}{24} = \\frac{7}{12}",[581,2135,2137,2262,2339],{"className":2136,"ariaHidden":619},[618],[581,2138,2140,2143,2253,2256,2259],{"className":2139},[623],[581,2141],{"className":2142,"style":741},[627],[581,2144,2146,2149,2250],{"className":2145},[632],[581,2147],{"className":2148},[748,749],[581,2150,2152],{"className":2151},[691],[581,2153,2155,2242],{"className":2154},[756,757],[581,2156,2158,2239],{"className":2157},[761],[581,2159,2161,2184,2192],{"className":2160,"style":766},[765],[581,2162,2163,2166],{"style":769},[581,2164],{"className":2165,"style":774},[773],[581,2167,2169,2172,2175,2178,2181],{"className":2168},[632],[581,2170,717],{"className":2171},[632],[581,2173],{"className":2174,"style":638},[637],[581,2176,606],{"className":2177},[642],[581,2179],{"className":2180,"style":638},[637],[581,2182,707],{"className":2183},[632],[581,2185,2186,2189],{"style":783},[581,2187],{"className":2188,"style":774},[773],[581,2190],{"className":2191,"style":791},[790],[581,2193,2194,2197],{"style":794},[581,2195],{"className":2196,"style":774},[773],[581,2198,2200,2203,2206,2209,2212,2215,2218,2221,2224,2227,2230,2233,2236],{"className":2199},[632],[581,2201,1576],{"className":2202},[632],[581,2204],{"className":2205,"style":638},[637],[581,2207,606],{"className":2208},[642],[581,2210],{"className":2211,"style":638},[637],[581,2213,707],{"className":2214},[632],[581,2216],{"className":2217,"style":638},[637],[581,2219,1581],{"className":2220},[642],[581,2222],{"className":2223,"style":638},[637],[581,2225,717],{"className":2226},[632],[581,2228],{"className":2229,"style":638},[637],[581,2231,606],{"className":2232},[642],[581,2234],{"className":2235,"style":638},[637],[581,2237,1108],{"className":2238},[632],[581,2240,808],{"className":2241},[807],[581,2243,2245],{"className":2244},[761],[581,2246,2248],{"className":2247,"style":815},[765],[581,2249],{},[581,2251],{"className":2252},[821,749],[581,2254],{"className":2255,"style":902},[637],[581,2257,712],{"className":2258},[906],[581,2260],{"className":2261,"style":902},[637],[581,2263,2265,2268,2330,2333,2336],{"className":2264},[623],[581,2266],{"className":2267,"style":741},[627],[581,2269,2271,2274,2327],{"className":2270},[632],[581,2272],{"className":2273},[748,749],[581,2275,2277],{"className":2276},[691],[581,2278,2280,2319],{"className":2279},[756,757],[581,2281,2283,2316],{"className":2282},[761],[581,2284,2286,2297,2305],{"className":2285,"style":766},[765],[581,2287,2288,2291],{"style":769},[581,2289],{"className":2290,"style":774},[773],[581,2292,2294],{"className":2293},[632],[581,2295,2020],{"className":2296},[632],[581,2298,2299,2302],{"style":783},[581,2300],{"className":2301,"style":774},[773],[581,2303],{"className":2304,"style":791},[790],[581,2306,2307,2310],{"style":794},[581,2308],{"className":2309,"style":774},[773],[581,2311,2313],{"className":2312},[632],[581,2314,2120],{"className":2315},[632],[581,2317,808],{"className":2318},[807],[581,2320,2322],{"className":2321},[761],[581,2323,2325],{"className":2324,"style":815},[765],[581,2326],{},[581,2328],{"className":2329},[821,749],[581,2331],{"className":2332,"style":902},[637],[581,2334,712],{"className":2335},[906],[581,2337],{"className":2338,"style":902},[637],[581,2340,2342,2345],{"className":2341},[623],[581,2343],{"className":2344,"style":741},[627],[581,2346,2348,2351,2404],{"className":2347},[632],[581,2349],{"className":2350},[748,749],[581,2352,2354],{"className":2353},[691],[581,2355,2357,2396],{"className":2356},[756,757],[581,2358,2360,2393],{"className":2359},[761],[581,2361,2363,2374,2382],{"className":2362,"style":766},[765],[581,2364,2365,2368],{"style":769},[581,2366],{"className":2367,"style":774},[773],[581,2369,2371],{"className":2370},[632],[581,2372,1072],{"className":2373},[632],[581,2375,2376,2379],{"style":783},[581,2377],{"className":2378,"style":774},[773],[581,2380],{"className":2381,"style":791},[790],[581,2383,2384,2387],{"style":794},[581,2385],{"className":2386,"style":774},[773],[581,2388,2390],{"className":2389},[632],[581,2391,1141],{"className":2392},[632],[581,2394,808],{"className":2395},[807],[581,2397,2399],{"className":2398},[761],[581,2400,2402],{"className":2401,"style":815},[765],[581,2403],{},[581,2405],{"className":2406},[821,749],[560,2408,2410],{"id":2409},"typische-fehler","Typische Fehler",[2412,2413,2414,2811,3069],"ul",{},[2415,2416,2417,2418,2707,2708,2711,2712,2810],"li",{},"Zähler und Nenner getrennt addieren: ",[581,2419,2421,2455],{"className":2420},[584],[581,2422,2424],{"className":2423},[588],[590,2425,2426],{"xmlns":592},[594,2427,2428,2452],{},[597,2429,2430,2436,2438,2444,2446],{},[691,2431,2432,2434],{},[694,2433,1108],{},[694,2435,728],{},[604,2437,702],{},[691,2439,2440,2442],{},[694,2441,1108],{},[694,2443,707],{},[604,2445,712],{},[691,2447,2448,2450],{},[694,2449,696],{},[694,2451,1141],{},[611,2453,2454],{"encoding":613},"\\frac{1}{3} + \\frac{1}{4} = \\frac{2}{7}",[581,2456,2458,2550,2633],{"className":2457,"ariaHidden":619},[618],[581,2459,2461,2465,2541,2544,2547],{"className":2460},[623],[581,2462],{"className":2463,"style":2464},[627],"height:1.1901em;vertical-align:-0.345em;",[581,2466,2468,2471,2538],{"className":2467},[632],[581,2469],{"className":2470},[748,749],[581,2472,2474],{"className":2473},[691],[581,2475,2477,2529],{"className":2476},[756,757],[581,2478,2480,2526],{"className":2479},[761],[581,2481,2484,2503,2511],{"className":2482,"style":2483},[765],"height:0.8451em;",[581,2485,2487,2490],{"style":2486},"top:-2.655em;",[581,2488],{"className":2489,"style":774},[773],[581,2491,2497],{"className":2492},[2493,2494,2495,2496],"sizing","reset-size6","size3","mtight",[581,2498,2500],{"className":2499},[632,2496],[581,2501,728],{"className":2502},[632,2496],[581,2504,2505,2508],{"style":783},[581,2506],{"className":2507,"style":774},[773],[581,2509],{"className":2510,"style":791},[790],[581,2512,2514,2517],{"style":2513},"top:-3.394em;",[581,2515],{"className":2516,"style":774},[773],[581,2518,2520],{"className":2519},[2493,2494,2495,2496],[581,2521,2523],{"className":2522},[632,2496],[581,2524,1108],{"className":2525},[632,2496],[581,2527,808],{"className":2528},[807],[581,2530,2532],{"className":2531},[761],[581,2533,2536],{"className":2534,"style":2535},[765],"height:0.345em;",[581,2537],{},[581,2539],{"className":2540},[821,749],[581,2542],{"className":2543,"style":638},[637],[581,2545,702],{"className":2546},[642],[581,2548],{"className":2549,"style":638},[637],[581,2551,2553,2556,2624,2627,2630],{"className":2552},[623],[581,2554],{"className":2555,"style":2464},[627],[581,2557,2559,2562,2621],{"className":2558},[632],[581,2560],{"className":2561},[748,749],[581,2563,2565],{"className":2564},[691],[581,2566,2568,2613],{"className":2567},[756,757],[581,2569,2571,2610],{"className":2570},[761],[581,2572,2574,2588,2596],{"className":2573,"style":2483},[765],[581,2575,2576,2579],{"style":2486},[581,2577],{"className":2578,"style":774},[773],[581,2580,2582],{"className":2581},[2493,2494,2495,2496],[581,2583,2585],{"className":2584},[632,2496],[581,2586,707],{"className":2587},[632,2496],[581,2589,2590,2593],{"style":783},[581,2591],{"className":2592,"style":774},[773],[581,2594],{"className":2595,"style":791},[790],[581,2597,2598,2601],{"style":2513},[581,2599],{"className":2600,"style":774},[773],[581,2602,2604],{"className":2603},[2493,2494,2495,2496],[581,2605,2607],{"className":2606},[632,2496],[581,2608,1108],{"className":2609},[632,2496],[581,2611,808],{"className":2612},[807],[581,2614,2616],{"className":2615},[761],[581,2617,2619],{"className":2618,"style":2535},[765],[581,2620],{},[581,2622],{"className":2623},[821,749],[581,2625],{"className":2626,"style":902},[637],[581,2628,712],{"className":2629},[906],[581,2631],{"className":2632,"style":902},[637],[581,2634,2636,2639],{"className":2635},[623],[581,2637],{"className":2638,"style":2464},[627],[581,2640,2642,2645,2704],{"className":2641},[632],[581,2643],{"className":2644},[748,749],[581,2646,2648],{"className":2647},[691],[581,2649,2651,2696],{"className":2650},[756,757],[581,2652,2654,2693],{"className":2653},[761],[581,2655,2657,2671,2679],{"className":2656,"style":2483},[765],[581,2658,2659,2662],{"style":2486},[581,2660],{"className":2661,"style":774},[773],[581,2663,2665],{"className":2664},[2493,2494,2495,2496],[581,2666,2668],{"className":2667},[632,2496],[581,2669,1141],{"className":2670},[632,2496],[581,2672,2673,2676],{"style":783},[581,2674],{"className":2675,"style":774},[773],[581,2677],{"className":2678,"style":791},[790],[581,2680,2681,2684],{"style":2513},[581,2682],{"className":2683,"style":774},[773],[581,2685,2687],{"className":2686},[2493,2494,2495,2496],[581,2688,2690],{"className":2689},[632,2496],[581,2691,696],{"className":2692},[632,2496],[581,2694,808],{"className":2695},[807],[581,2697,2699],{"className":2698},[761],[581,2700,2702],{"className":2701,"style":2535},[765],[581,2703],{},[581,2705],{"className":2706},[821,749]," ist ",[569,2709,2710],{},"falsch",". Richtig ist ",[581,2713,2715,2733],{"className":2714},[584],[581,2716,2718],{"className":2717},[588],[590,2719,2720],{"xmlns":592},[594,2721,2722,2730],{},[597,2723,2724],{},[691,2725,2726,2728],{},[694,2727,1141],{},[694,2729,1072],{},[611,2731,2732],{"encoding":613},"\\frac{7}{12}",[581,2734,2736],{"className":2735,"ariaHidden":619},[618],[581,2737,2739,2742],{"className":2738},[623],[581,2740],{"className":2741,"style":2464},[627],[581,2743,2745,2748,2807],{"className":2744},[632],[581,2746],{"className":2747},[748,749],[581,2749,2751],{"className":2750},[691],[581,2752,2754,2799],{"className":2753},[756,757],[581,2755,2757,2796],{"className":2756},[761],[581,2758,2760,2774,2782],{"className":2759,"style":2483},[765],[581,2761,2762,2765],{"style":2486},[581,2763],{"className":2764,"style":774},[773],[581,2766,2768],{"className":2767},[2493,2494,2495,2496],[581,2769,2771],{"className":2770},[632,2496],[581,2772,1072],{"className":2773},[632,2496],[581,2775,2776,2779],{"style":783},[581,2777],{"className":2778,"style":774},[773],[581,2780],{"className":2781,"style":791},[790],[581,2783,2784,2787],{"style":2513},[581,2785],{"className":2786,"style":774},[773],[581,2788,2790],{"className":2789},[2493,2494,2495,2496],[581,2791,2793],{"className":2792},[632,2496],[581,2794,1141],{"className":2795},[632,2496],[581,2797,808],{"className":2798},[807],[581,2800,2802],{"className":2801},[761],[581,2803,2805],{"className":2804,"style":2535},[765],[581,2806],{},[581,2808],{"className":2809},[821,749],".",[2415,2812,2813,2814,2912,2913,2941,2942,2970,2971,2810],{},"Nur den Nenner anpassen, aber den Zähler vergessen: Beim Erweitern von ",[581,2815,2817,2835],{"className":2816},[584],[581,2818,2820],{"className":2819},[588],[590,2821,2822],{"xmlns":592},[594,2823,2824,2832],{},[597,2825,2826],{},[691,2827,2828,2830],{},[694,2829,1108],{},[694,2831,728],{},[611,2833,2834],{"encoding":613},"\\frac{1}{3}",[581,2836,2838],{"className":2837,"ariaHidden":619},[618],[581,2839,2841,2844],{"className":2840},[623],[581,2842],{"className":2843,"style":2464},[627],[581,2845,2847,2850,2909],{"className":2846},[632],[581,2848],{"className":2849},[748,749],[581,2851,2853],{"className":2852},[691],[581,2854,2856,2901],{"className":2855},[756,757],[581,2857,2859,2898],{"className":2858},[761],[581,2860,2862,2876,2884],{"className":2861,"style":2483},[765],[581,2863,2864,2867],{"style":2486},[581,2865],{"className":2866,"style":774},[773],[581,2868,2870],{"className":2869},[2493,2494,2495,2496],[581,2871,2873],{"className":2872},[632,2496],[581,2874,728],{"className":2875},[632,2496],[581,2877,2878,2881],{"style":783},[581,2879],{"className":2880,"style":774},[773],[581,2882],{"className":2883,"style":791},[790],[581,2885,2886,2889],{"style":2513},[581,2887],{"className":2888,"style":774},[773],[581,2890,2892],{"className":2891},[2493,2494,2495,2496],[581,2893,2895],{"className":2894},[632,2496],[581,2896,1108],{"className":2897},[632,2496],[581,2899,808],{"className":2900},[807],[581,2902,2904],{"className":2903},[761],[581,2905,2907],{"className":2906,"style":2535},[765],[581,2908],{},[581,2910],{"className":2911},[821,749]," auf den Nenner ",[581,2914,2916,2929],{"className":2915},[584],[581,2917,2919],{"className":2918},[588],[590,2920,2921],{"xmlns":592},[594,2922,2923,2927],{},[597,2924,2925],{},[694,2926,1072],{},[611,2928,1072],{"encoding":613},[581,2930,2932],{"className":2931,"ariaHidden":619},[618],[581,2933,2935,2938],{"className":2934},[623],[581,2936],{"className":2937,"style":1084},[627],[581,2939,1072],{"className":2940},[632]," wird auch der Zähler mit ",[581,2943,2945,2958],{"className":2944},[584],[581,2946,2948],{"className":2947},[588],[590,2949,2950],{"xmlns":592},[594,2951,2952,2956],{},[597,2953,2954],{},[694,2955,707],{},[611,2957,707],{"encoding":613},[581,2959,2961],{"className":2960,"ariaHidden":619},[618],[581,2962,2964,2967],{"className":2963},[623],[581,2965],{"className":2966,"style":1084},[627],[581,2968,707],{"className":2969},[632]," multipliziert, also ",[581,2972,2974,2992],{"className":2973},[584],[581,2975,2977],{"className":2976},[588],[590,2978,2979],{"xmlns":592},[594,2980,2981,2989],{},[597,2982,2983],{},[691,2984,2985,2987],{},[694,2986,707],{},[694,2988,1072],{},[611,2990,2991],{"encoding":613},"\\frac{4}{12}",[581,2993,2995],{"className":2994,"ariaHidden":619},[618],[581,2996,2998,3001],{"className":2997},[623],[581,2999],{"className":3000,"style":2464},[627],[581,3002,3004,3007,3066],{"className":3003},[632],[581,3005],{"className":3006},[748,749],[581,3008,3010],{"className":3009},[691],[581,3011,3013,3058],{"className":3012},[756,757],[581,3014,3016,3055],{"className":3015},[761],[581,3017,3019,3033,3041],{"className":3018,"style":2483},[765],[581,3020,3021,3024],{"style":2486},[581,3022],{"className":3023,"style":774},[773],[581,3025,3027],{"className":3026},[2493,2494,2495,2496],[581,3028,3030],{"className":3029},[632,2496],[581,3031,1072],{"className":3032},[632,2496],[581,3034,3035,3038],{"style":783},[581,3036],{"className":3037,"style":774},[773],[581,3039],{"className":3040,"style":791},[790],[581,3042,3043,3046],{"style":2513},[581,3044],{"className":3045,"style":774},[773],[581,3047,3049],{"className":3048},[2493,2494,2495,2496],[581,3050,3052],{"className":3051},[632,2496],[581,3053,707],{"className":3054},[632,2496],[581,3056,808],{"className":3057},[807],[581,3059,3061],{"className":3060},[761],[581,3062,3064],{"className":3063,"style":2535},[765],[581,3065],{},[581,3067],{"className":3068},[821,749],[2415,3070,3071,3072,3170,3171,2810],{},"Am Ende nicht kürzen: ",[581,3073,3075,3093],{"className":3074},[584],[581,3076,3078],{"className":3077},[588],[590,3079,3080],{"xmlns":592},[594,3081,3082,3090],{},[597,3083,3084],{},[691,3085,3086,3088],{},[694,3087,717],{},[694,3089,699],{},[611,3091,3092],{"encoding":613},"\\frac{6}{9}",[581,3094,3096],{"className":3095,"ariaHidden":619},[618],[581,3097,3099,3102],{"className":3098},[623],[581,3100],{"className":3101,"style":2464},[627],[581,3103,3105,3108,3167],{"className":3104},[632],[581,3106],{"className":3107},[748,749],[581,3109,3111],{"className":3110},[691],[581,3112,3114,3159],{"className":3113},[756,757],[581,3115,3117,3156],{"className":3116},[761],[581,3118,3120,3134,3142],{"className":3119,"style":2483},[765],[581,3121,3122,3125],{"style":2486},[581,3123],{"className":3124,"style":774},[773],[581,3126,3128],{"className":3127},[2493,2494,2495,2496],[581,3129,3131],{"className":3130},[632,2496],[581,3132,699],{"className":3133},[632,2496],[581,3135,3136,3139],{"style":783},[581,3137],{"className":3138,"style":774},[773],[581,3140],{"className":3141,"style":791},[790],[581,3143,3144,3147],{"style":2513},[581,3145],{"className":3146,"style":774},[773],[581,3148,3150],{"className":3149},[2493,2494,2495,2496],[581,3151,3153],{"className":3152},[632,2496],[581,3154,717],{"className":3155},[632,2496],[581,3157,808],{"className":3158},[807],[581,3160,3162],{"className":3161},[761],[581,3163,3165],{"className":3164,"style":2535},[765],[581,3166],{},[581,3168],{"className":3169},[821,749]," ist richtig, aber vollständig gekürzt heißt das Ergebnis 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