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Der Nenner bleibt.",[961,968,969,972],{},[567,970,971],{},"Bruch zu gemischter Zahl",": Zähler durch Nenner teilen. Das Ergebnis ohne Rest ist die ganze Zahl, der Rest wird der neue Zähler.",[558,974,976],{"id":975},"beispiele","Beispiele",[563,978,979],{},"Gemischte Zahl in einen Bruch umwandeln:",[572,981,984],{"className":982},[983],"katex-display",[572,985,987,1038],{"className":986},[575],[572,988,990],{"className":989},[579],[581,991,993],{"xmlns":583,"display":992},"block",[585,994,995,1035],{},[588,996,997,999,1007,1009,1026,1028],{},[591,998,593],{},[595,1000,1001],{"scriptlevel":597,"displaystyle":598},[600,1002,1003,1005],{},[591,1004,604],{},[591,1006,607],{},[745,1008,747],{},[600,1010,1011,1024],{},[588,1012,1013,1015,1018,1020,1022],{},[591,1014,593],{},[745,1016,1017],{},"⋅",[591,1019,607],{},[745,1021,752],{},[591,1023,604],{},[591,1025,607],{},[745,1027,747],{},[600,1029,1030,1033],{},[591,1031,1032],{},"11",[591,1034,607],{},[609,1036,1037],{"encoding":611},"2\\tfrac{3}{4} = \\frac{2 \\cdot 4 + 3}{4} = \\frac{11}{4}",[572,1039,1041,1127,1233],{"className":1040,"ariaHidden":617},[616],[572,1042,1044,1047,1050,1118,1121,1124],{"className":1043},[621],[572,1045],{"className":1046,"style":626},[625],[572,1048,593],{"className":1049},[630],[572,1051,1053,1056,1115],{"className":1052},[630],[572,1054],{"className":1055},[637,638],[572,1057,1059],{"className":1058},[600],[572,1060,1062,1107],{"className":1061},[645,646],[572,1063,1065,1104],{"className":1064},[650],[572,1066,1068,1082,1090],{"className":1067,"style":655},[654],[572,1069,1070,1073],{"style":658},[572,1071],{"className":1072,"style":663},[662],[572,1074,1076],{"className":1075},[667,668,669,670],[572,1077,1079],{"className":1078},[630,670],[572,1080,607],{"className":1081},[630,670],[572,1083,1084,1087],{"style":679},[572,1085],{"className":1086,"style":663},[662],[572,1088],{"className":1089,"style":687},[686],[572,1091,1092,1095],{"style":690},[572,1093],{"className":1094,"style":663},[662],[572,1096,1098],{"className":1097},[667,668,669,670],[572,1099,1101],{"className":1100},[630,670],[572,1102,604],{"className":1103},[630,670],[572,1105,707],{"className":1106},[706],[572,1108,1110],{"className":1109},[650],[572,1111,1113],{"className":1112,"style":714},[654],[572,1114],{},[572,1116],{"className":1117},[720,638],[572,1119],{"className":1120,"style":846},[845],[572,1122,747],{"className":1123},[850],[572,1125],{"className":1126,"style":846},[845],[572,1128,1130,1134,1224,1227,1230],{"className":1129},[621],[572,1131],{"className":1132,"style":1133},[625],"height:2.0074em;vertical-align:-0.686em;",[572,1135,1137,1140,1221],{"className":1136},[630],[572,1138],{"className":1139},[637,638],[572,1141,1143],{"className":1142},[600],[572,1144,1146,1212],{"className":1145},[645,646],[572,1147,1149,1209],{"className":1148},[650],[572,1150,1153,1165,1173],{"className":1151,"style":1152},[654],"height:1.3214em;",[572,1154,1156,1159],{"style":1155},"top:-2.314em;",[572,1157],{"className":1158,"style":663},[662],[572,1160,1162],{"className":1161},[630],[572,1163,607],{"className":1164},[630],[572,1166,1167,1170],{"style":679},[572,1168],{"className":1169,"style":663},[662],[572,1171],{"className":1172,"style":687},[686],[572,1174,1176,1179],{"style":1175},"top:-3.677em;",[572,1177],{"className":1178,"style":663},[662],[572,1180,1182,1185,1188,1191,1194,1197,1200,1203,1206],{"className":1181},[630],[572,1183,593],{"className":1184},[630],[572,1186],{"className":1187,"style":867},[845],[572,1189,1017],{"className":1190},[871],[572,1192],{"className":1193,"style":867},[845],[572,1195,607],{"className":1196},[630],[572,1198],{"className":1199,"style":867},[845],[572,1201,752],{"className":1202},[871],[572,1204],{"className":1205,"style":867},[845],[572,1207,604],{"className":1208},[630],[572,1210,707],{"className":1211},[706],[572,1213,1215],{"className":1214},[650],[572,1216,1219],{"className":1217,"style":1218},[654],"height:0.686em;",[572,1220],{},[572,1222],{"className":1223},[720,638],[572,1225],{"className":1226,"style":846},[845],[572,1228,747],{"className":1229},[850],[572,1231],{"className":1232,"style":846},[845],[572,1234,1236,1239],{"className":1235},[621],[572,1237],{"className":1238,"style":1133},[625],[572,1240,1242,1245,1298],{"className":1241},[630],[572,1243],{"className":1244},[637,638],[572,1246,1248],{"className":1247},[600],[572,1249,1251,1290],{"className":1250},[645,646],[572,1252,1254,1287],{"className":1253},[650],[572,1255,1257,1268,1276],{"className":1256,"style":1152},[654],[572,1258,1259,1262],{"style":1155},[572,1260],{"className":1261,"style":663},[662],[572,1263,1265],{"className":1264},[630],[572,1266,607],{"className":1267},[630],[572,1269,1270,1273],{"style":679},[572,1271],{"className":1272,"style":663},[662],[572,1274],{"className":1275,"style":687},[686],[572,1277,1278,1281],{"style":1175},[572,1279],{"className":1280,"style":663},[662],[572,1282,1284],{"className":1283},[630],[572,1285,1032],{"className":1286},[630],[572,1288,707],{"className":1289},[706],[572,1291,1293],{"className":1292},[650],[572,1294,1296],{"className":1295,"style":1218},[654],[572,1297],{},[572,1299],{"className":1300},[720,638],[563,1302,1303,1304,1381,1382,1410],{},"Bruch in eine gemischte Zahl umwandeln: ",[572,1305,1307,1332],{"className":1306},[575],[572,1308,1310],{"className":1309},[579],[581,1311,1312],{"xmlns":583},[585,1313,1314,1329],{},[588,1315,1316,1319,1322,1325,1327],{},[591,1317,1318],{},"17",[745,1320,1321],{},":",[591,1323,1324],{},"5",[745,1326,747],{},[591,1328,604],{},[609,1330,1331],{"encoding":611},"17 : 5 = 3",[572,1333,1335,1354,1372],{"className":1334,"ariaHidden":617},[616],[572,1336,1338,1342,1345,1348,1351],{"className":1337},[621],[572,1339],{"className":1340,"style":1341},[625],"height:0.6444em;",[572,1343,1318],{"className":1344},[630],[572,1346],{"className":1347,"style":846},[845],[572,1349,1321],{"className":1350},[850],[572,1352],{"className":1353,"style":846},[845],[572,1355,1357,1360,1363,1366,1369],{"className":1356},[621],[572,1358],{"className":1359,"style":1341},[625],[572,1361,1324],{"className":1362},[630],[572,1364],{"className":1365,"style":846},[845],[572,1367,747],{"className":1368},[850],[572,1370],{"className":1371,"style":846},[845],[572,1373,1375,1378],{"className":1374},[621],[572,1376],{"className":1377,"style":1341},[625],[572,1379,604],{"className":1380},[630]," Rest ",[572,1383,1385,1398],{"className":1384},[575],[572,1386,1388],{"className":1387},[579],[581,1389,1390],{"xmlns":583},[585,1391,1392,1396],{},[588,1393,1394],{},[591,1395,593],{},[609,1397,593],{"encoding":611},[572,1399,1401],{"className":1400,"ariaHidden":617},[616],[572,1402,1404,1407],{"className":1403},[621],[572,1405],{"className":1406,"style":1341},[625],[572,1408,593],{"className":1409},[630],", also",[572,1412,1414],{"className":1413},[983],[572,1415,1417,1447],{"className":1416},[575],[572,1418,1420],{"className":1419},[579],[581,1421,1422],{"xmlns":583,"display":992},[585,1423,1424,1444],{},[588,1425,1426,1432,1434,1436],{},[600,1427,1428,1430],{},[591,1429,1318],{},[591,1431,1324],{},[745,1433,747],{},[591,1435,604],{},[595,1437,1438],{"scriptlevel":597,"displaystyle":598},[600,1439,1440,1442],{},[591,1441,593],{},[591,1443,1324],{},[609,1445,1446],{"encoding":611},"\\frac{17}{5} = 3\\tfrac{2}{5}",[572,1448,1450,1527],{"className":1449,"ariaHidden":617},[616],[572,1451,1453,1456,1518,1521,1524],{"className":1452},[621],[572,1454],{"className":1455,"style":1133},[625],[572,1457,1459,1462,1515],{"className":1458},[630],[572,1460],{"className":1461},[637,638],[572,1463,1465],{"className":1464},[600],[572,1466,1468,1507],{"className":1467},[645,646],[572,1469,1471,1504],{"className":1470},[650],[572,1472,1474,1485,1493],{"className":1473,"style":1152},[654],[572,1475,1476,1479],{"style":1155},[572,1477],{"className":1478,"style":663},[662],[572,1480,1482],{"className":1481},[630],[572,1483,1324],{"className":1484},[630],[572,1486,1487,1490],{"style":679},[572,1488],{"className":1489,"style":663},[662],[572,1491],{"className":1492,"style":687},[686],[572,1494,1495,1498],{"style":1175},[572,1496],{"className":1497,"style":663},[662],[572,1499,1501],{"className":1500},[630],[572,1502,1318],{"className":1503},[630],[572,1505,707],{"className":1506},[706],[572,1508,1510],{"className":1509},[650],[572,1511,1513],{"className":1512,"style":1218},[654],[572,1514],{},[572,1516],{"className":1517},[720,638],[572,1519],{"className":1520,"style":846},[845],[572,1522,747],{"className":1523},[850],[572,1525],{"className":1526,"style":846},[845],[572,1528,1530,1533,1536],{"className":1529},[621],[572,1531],{"className":1532,"style":626},[625],[572,1534,604],{"className":1535},[630],[572,1537,1539,1542,1601],{"className":1538},[630],[572,1540],{"className":1541},[637,638],[572,1543,1545],{"className":1544},[600],[572,1546,1548,1593],{"className":1547},[645,646],[572,1549,1551,1590],{"className":1550},[650],[572,1552,1554,1568,1576],{"className":1553,"style":655},[654],[572,1555,1556,1559],{"style":658},[572,1557],{"className":1558,"style":663},[662],[572,1560,1562],{"className":1561},[667,668,669,670],[572,1563,1565],{"className":1564},[630,670],[572,1566,1324],{"className":1567},[630,670],[572,1569,1570,1573],{"style":679},[572,1571],{"className":1572,"style":663},[662],[572,1574],{"className":1575,"style":687},[686],[572,1577,1578,1581],{"style":690},[572,1579],{"className":1580,"style":663},[662],[572,1582,1584],{"className":1583},[667,668,669,670],[572,1585,1587],{"className":1586},[630,670],[572,1588,593],{"className":1589},[630,670],[572,1591,707],{"className":1592},[706],[572,1594,1596],{"className":1595},[650],[572,1597,1599],{"className":1598,"style":714},[654],[572,1600],{},[572,1602],{"className":1603},[720,638],[558,1605,1607],{"id":1606},"typische-fehler","Typische Fehler",[958,1609,1610,1842,1994],{},[961,1611,1612,1716,1717,1837,1838,1841],{},[572,1613,1615,1636],{"className":1614},[575],[572,1616,1618],{"className":1617},[579],[581,1619,1620],{"xmlns":583},[585,1621,1622,1634],{},[588,1623,1624,1626],{},[591,1625,593],{},[595,1627,1628],{"scriptlevel":597,"displaystyle":598},[600,1629,1630,1632],{},[591,1631,604],{},[591,1633,607],{},[609,1635,612],{"encoding":611},[572,1637,1639],{"className":1638,"ariaHidden":617},[616],[572,1640,1642,1645,1648],{"className":1641},[621],[572,1643],{"className":1644,"style":626},[625],[572,1646,593],{"className":1647},[630],[572,1649,1651,1654,1713],{"className":1650},[630],[572,1652],{"className":1653},[637,638],[572,1655,1657],{"className":1656},[600],[572,1658,1660,1705],{"className":1659},[645,646],[572,1661,1663,1702],{"className":1662},[650],[572,1664,1666,1680,1688],{"className":1665,"style":655},[654],[572,1667,1668,1671],{"style":658},[572,1669],{"className":1670,"style":663},[662],[572,1672,1674],{"className":1673},[667,668,669,670],[572,1675,1677],{"className":1676},[630,670],[572,1678,607],{"className":1679},[630,670],[572,1681,1682,1685],{"style":679},[572,1683],{"className":1684,"style":663},[662],[572,1686],{"className":1687,"style":687},[686],[572,1689,1690,1693],{"style":690},[572,1691],{"className":1692,"style":663},[662],[572,1694,1696],{"className":1695},[667,668,669,670],[572,1697,1699],{"className":1698},[630,670],[572,1700,604],{"className":1701},[630,670],[572,1703,707],{"className":1704},[706],[572,1706,1708],{"className":1707},[650],[572,1709,1711],{"className":1710,"style":714},[654],[572,1712],{},[572,1714],{"className":1715},[720,638]," als ",[572,1718,1720,1742],{"className":1719},[575],[572,1721,1723],{"className":1722},[579],[581,1724,1725],{"xmlns":583},[585,1726,1727,1739],{},[588,1728,1729,1731,1733],{},[591,1730,593],{},[745,1732,1017],{},[600,1734,1735,1737],{},[591,1736,604],{},[591,1738,607],{},[609,1740,1741],{"encoding":611},"2 \\cdot \\frac{3}{4}",[572,1743,1745,1763],{"className":1744,"ariaHidden":617},[616],[572,1746,1748,1751,1754,1757,1760],{"className":1747},[621],[572,1749],{"className":1750,"style":1341},[625],[572,1752,593],{"className":1753},[630],[572,1755],{"className":1756,"style":867},[845],[572,1758,1017],{"className":1759},[871],[572,1761],{"className":1762,"style":867},[845],[572,1764,1766,1769],{"className":1765},[621],[572,1767],{"className":1768,"style":626},[625],[572,1770,1772,1775,1834],{"className":1771},[630],[572,1773],{"className":1774},[637,638],[572,1776,1778],{"className":1777},[600],[572,1779,1781,1826],{"className":1780},[645,646],[572,1782,1784,1823],{"className":1783},[650],[572,1785,1787,1801,1809],{"className":1786,"style":655},[654],[572,1788,1789,1792],{"style":658},[572,1790],{"className":1791,"style":663},[662],[572,1793,1795],{"className":1794},[667,668,669,670],[572,1796,1798],{"className":1797},[630,670],[572,1799,607],{"className":1800},[630,670],[572,1802,1803,1806],{"style":679},[572,1804],{"className":1805,"style":663},[662],[572,1807],{"className":1808,"style":687},[686],[572,1810,1811,1814],{"style":690},[572,1812],{"className":1813,"style":663},[662],[572,1815,1817],{"className":1816},[667,668,669,670],[572,1818,1820],{"className":1819},[630,670],[572,1821,604],{"className":1822},[630,670],[572,1824,707],{"className":1825},[706],[572,1827,1829],{"className":1828},[650],[572,1830,1832],{"className":1831,"style":714},[654],[572,1833],{},[572,1835],{"className":1836},[720,638]," lesen: Zwischen ganzer Zahl und Bruch steht ein ",[567,1839,1840],{},"Plus",", kein Mal.",[961,1843,1844,1845,1965,1966,949],{},"Den Nenner mitverändern: In ",[572,1846,1848,1876],{"className":1847},[575],[572,1849,1851],{"className":1850},[579],[581,1852,1853],{"xmlns":583},[585,1854,1855,1873],{},[588,1856,1857],{},[600,1858,1859,1871],{},[588,1860,1861,1863,1865,1867,1869],{},[591,1862,593],{},[745,1864,1017],{},[591,1866,607],{},[745,1868,752],{},[591,1870,604],{},[591,1872,607],{},[609,1874,1875],{"encoding":611},"\\frac{2 \\cdot 4 + 3}{4}",[572,1877,1879],{"className":1878,"ariaHidden":617},[616],[572,1880,1882,1885],{"className":1881},[621],[572,1883],{"className":1884,"style":626},[625],[572,1886,1888,1891,1962],{"className":1887},[630],[572,1889],{"className":1890},[637,638],[572,1892,1894],{"className":1893},[600],[572,1895,1897,1954],{"className":1896},[645,646],[572,1898,1900,1951],{"className":1899},[650],[572,1901,1903,1917,1925],{"className":1902,"style":655},[654],[572,1904,1905,1908],{"style":658},[572,1906],{"className":1907,"style":663},[662],[572,1909,1911],{"className":1910},[667,668,669,670],[572,1912,1914],{"className":1913},[630,670],[572,1915,607],{"className":1916},[630,670],[572,1918,1919,1922],{"style":679},[572,1920],{"className":1921,"style":663},[662],[572,1923],{"className":1924,"style":687},[686],[572,1926,1927,1930],{"style":690},[572,1928],{"className":1929,"style":663},[662],[572,1931,1933],{"className":1932},[667,668,669,670],[572,1934,1936,1939,1942,1945,1948],{"className":1935},[630,670],[572,1937,593],{"className":1938},[630,670],[572,1940,1017],{"className":1941},[871,670],[572,1943,607],{"className":1944},[630,670],[572,1946,752],{"className":1947},[871,670],[572,1949,604],{"className":1950},[630,670],[572,1952,707],{"className":1953},[706],[572,1955,1957],{"className":1956},[650],[572,1958,1960],{"className":1959,"style":714},[654],[572,1961],{},[572,1963],{"className":1964},[720,638]," bleibt der Nenner ",[572,1967,1969,1982],{"className":1968},[575],[572,1970,1972],{"className":1971},[579],[581,1973,1974],{"xmlns":583},[585,1975,1976,1980],{},[588,1977,1978],{},[591,1979,607],{},[609,1981,607],{"encoding":611},[572,1983,1985],{"className":1984,"ariaHidden":617},[616],[572,1986,1988,1991],{"className":1987},[621],[572,1989],{"className":1990,"style":1341},[625],[572,1992,607],{"className":1993},[630],[961,1995,1996,1997,2108,2109,949],{},"Bei negativen Zahlen (die Formel gilt dann für den Betrag, das Minus steht davor) das Minus nur auf die ganze Zahl beziehen: ",[572,1998,2000,2025],{"className":1999},[575],[572,2001,2003],{"className":2002},[579],[581,2004,2005],{"xmlns":583},[585,2006,2007,2022],{},[588,2008,2009,2012,2014],{},[745,2010,2011],{},"−",[591,2013,593],{},[595,2015,2016],{"scriptlevel":597,"displaystyle":598},[600,2017,2018,2020],{},[591,2019,604],{},[591,2021,607],{},[609,2023,2024],{"encoding":611},"-2\\tfrac{3}{4}",[572,2026,2028],{"className":2027,"ariaHidden":617},[616],[572,2029,2031,2034,2037,2040],{"className":2030},[621],[572,2032],{"className":2033,"style":626},[625],[572,2035,2011],{"className":2036},[630],[572,2038,593],{"className":2039},[630],[572,2041,2043,2046,2105],{"className":2042},[630],[572,2044],{"className":2045},[637,638],[572,2047,2049],{"className":2048},[600],[572,2050,2052,2097],{"className":2051},[645,646],[572,2053,2055,2094],{"className":2054},[650],[572,2056,2058,2072,2080],{"className":2057,"style":655},[654],[572,2059,2060,2063],{"style":658},[572,2061],{"className":2062,"style":663},[662],[572,2064,2066],{"className":2065},[667,668,669,670],[572,2067,2069],{"className":2068},[630,670],[572,2070,607],{"className":2071},[630,670],[572,2073,2074,2077],{"style":679},[572,2075],{"className":2076,"style":663},[662],[572,2078],{"className":2079,"style":687},[686],[572,2081,2082,2085],{"style":690},[572,2083],{"className":2084,"style":663},[662],[572,2086,2088],{"className":2087},[667,668,669,670],[572,2089,2091],{"className":2090},[630,670],[572,2092,604],{"className":2093},[630,670],[572,2095,707],{"className":2096},[706],[572,2098,2100],{"className":2099},[650],[572,2101,2103],{"className":2102,"style":714},[654],[572,2104],{},[572,2106],{"className":2107},[720,638]," bedeutet ",[572,2110,2112,2154],{"className":2111},[575],[572,2113,2115],{"className":2114},[579],[581,2116,2117],{"xmlns":583},[585,2118,2119,2151],{},[588,2120,2121,2123,2141,2143,2145],{},[745,2122,2011],{},[588,2124,2125,2128,2130,2132,2138],{},[745,2126,2127],{"fence":617},"(",[591,2129,593],{},[745,2131,752],{},[600,2133,2134,2136],{},[591,2135,604],{},[591,2137,607],{},[745,2139,2140],{"fence":617},")",[745,2142,747],{},[745,2144,2011],{},[600,2146,2147,2149],{},[591,2148,1032],{},[591,2150,607],{},[609,2152,2153],{"encoding":611},"-\\left(2 + \\frac{3}{4}\\right) = 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style=\"height:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">N\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmn>0\u003C\u002Fmn>\u003Cmo><\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmo><\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">0 < a < 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:0.6835em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\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:0.5782em;vertical-align:-0.0391em;\">\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>",null,"md","mixed-number","n\\tfrac{a}{b} = n + \\frac{a}{b} = \\frac{n \\cdot b + a}{b}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmfrac>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>b\u003C\u002Fmi>\u003C\u002Fmfrac>\u003C\u002Fmstyle>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>b\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmi>b\u003C\u002Fmi>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n\\tfrac{a}{b} = n + \\frac{a}{b} = \\frac{n \\cdot b + a}{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:1.0404em;vertical-align:-0.345em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6954em;\">\u003Cspan style=\"top:-2.655em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">b\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.394em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">a\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.345em;\">\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:0.6667em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" 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style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" 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:2.0574em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3714em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord 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