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€",[1042,1141,1142,1186],{},[1057,1143,1144],{},[577,1145,1147,1165],{"className":1146},[580],[577,1148,1150],{"className":1149},[584],[586,1151,1152],{"xmlns":588},[590,1153,1154,1162],{},[593,1155,1156,1158,1160],{},[749,1157,751],{},[911,1159,913],{},[911,1161,916],{},[606,1163,1164],{"encoding":608},"1\\,\\text{kg}",[577,1166,1168],{"className":1167,"ariaHidden":614},[613],[577,1169,1171,1174,1177,1180],{"className":1170},[618],[577,1172],{"className":1173,"style":929},[622],[577,1175,751],{"className":1176},[627],[577,1178],{"className":1179,"style":937},[936],[577,1181,1183],{"className":1182},[627,941],[577,1184,916],{"className":1185},[627],[1057,1187,1188,1139],{},[577,1189,1191,1217],{"className":1190},[580],[577,1192,1194],{"className":1193},[584],[586,1195,1196],{"xmlns":588},[590,1197,1198,1214],{},[593,1199,1200,1202,1206,1208,1211],{},[749,1201,960],{},[1203,1204,1205],"mo",{},":",[749,1207,909],{},[1203,1209,1210],{},"=",[749,1212,1213],{},"1,50",[606,1215,1216],{"encoding":608},"4{,}50 : 3 = 1{,}50",[577,1218,1220,1249,1268],{"className":1219,"ariaHidden":614},[613],[577,1221,1223,1226,1229,1235,1238,1242,1246],{"className":1222},[618],[577,1224],{"className":1225,"style":973},[622],[577,1227,977],{"className":1228},[627],[577,1230,1232],{"className":1231},[627],[577,1233,985],{"className":1234},[984],[577,1236,989],{"className":1237},[627],[577,1239],{"className":1240,"style":1241},[936],"margin-right:0.2778em;",[577,1243,1205],{"className":1244},[1245],"mrel",[577,1247],{"className":1248,"style":1241},[936],[577,1250,1252,1256,1259,1262,1265],{"className":1251},[618],[577,1253],{"className":1254,"style":1255},[622],"height:0.6444em;",[577,1257,909],{"className":1258},[627],[577,1260],{"className":1261,"style":1241},[936],[577,1263,1210],{"className":1264},[1245],[577,1266],{"className":1267,"style":1241},[936],[577,1269,1271,1274,1277,1283],{"className":1270},[618],[577,1272],{"className":1273,"style":973},[622],[577,1275,751],{"className":1276},[627],[577,1278,1280],{"className":1279},[627],[577,1281,985],{"className":1282},[984],[577,1284,989],{"className":1285},[627],[1042,1287,1288,1331],{},[1057,1289,1290],{},[577,1291,1293,1310],{"className":1292},[580],[577,1294,1296],{"className":1295},[584],[586,1297,1298],{"xmlns":588},[590,1299,1300,1308],{},[593,1301,1302,1304,1306],{},[749,1303,1005],{},[911,1305,913],{},[911,1307,916],{},[606,1309,1012],{"encoding":608},[577,1311,1313],{"className":1312,"ariaHidden":614},[613],[577,1314,1316,1319,1322,1325],{"className":1315},[618],[577,1317],{"className":1318,"style":929},[622],[577,1320,1005],{"className":1321},[627],[577,1323],{"className":1324,"style":937},[936],[577,1326,1328],{"className":1327},[627,941],[577,1329,916],{"className":1330},[627],[1057,1332,1333,1139],{},[577,1334,1336,1360],{"className":1335},[580],[577,1337,1339],{"className":1338},[584],[586,1340,1341],{"xmlns":588},[590,1342,1343,1357],{},[593,1344,1345,1347,1350,1352,1354],{},[749,1346,1213],{},[1203,1348,1349],{},"⋅",[749,1351,1005],{},[1203,1353,1210],{},[749,1355,1356],{},"7,50",[606,1358,1359],{"encoding":608},"1{,}50 \\cdot 5 = 7{,}50",[577,1361,1363,1392,1410],{"className":1362,"ariaHidden":614},[613],[577,1364,1366,1369,1372,1378,1381,1385,1389],{"className":1365},[618],[577,1367],{"className":1368,"style":973},[622],[577,1370,751],{"className":1371},[627],[577,1373,1375],{"className":1374},[627],[577,1376,985],{"className":1377},[984],[577,1379,989],{"className":1380},[627],[577,1382],{"className":1383,"style":1384},[936],"margin-right:0.2222em;",[577,1386,1349],{"className":1387},[1388],"mbin",[577,1390],{"className":1391,"style":1384},[936],[577,1393,1395,1398,1401,1404,1407],{"className":1394},[618],[577,1396],{"className":1397,"style":1255},[622],[577,1399,1005],{"className":1400},[627],[577,1402],{"className":1403,"style":1241},[936],[577,1405,1210],{"className":1406},[1245],[577,1408],{"className":1409,"style":1241},[936],[577,1411,1413,1416,1420,1426],{"className":1412},[618],[577,1414],{"className":1415,"style":973},[622],[577,1417,1419],{"className":1418},[627],"7",[577,1421,1423],{"className":1422},[627],[577,1424,985],{"className":1425},[984],[577,1427,989],{"className":1428},[627],[565,1430,1431],{},"Mit der Formel:",[577,1433,1436],{"className":1434},[1435],"katex-display",[577,1437,1439,1476],{"className":1438},[580],[577,1440,1442],{"className":1441},[584],[586,1443,1445],{"xmlns":588,"display":1444},"block",[590,1446,1447,1473],{},[593,1448,1449,1455,1457,1464,1466,1468,1470],{},[744,1450,1451,1453],{},[599,1452,601],{},[749,1454,832],{},[1203,1456,1210],{},[596,1458,1459,1462],{},[749,1460,1461],{},"4,5",[749,1463,909],{},[1203,1465,1349],{},[749,1467,1005],{},[1203,1469,1210],{},[749,1471,1472],{},"7,5",[606,1474,1475],{"encoding":608},"y_2 = \\frac{4{,}5}{3} \\cdot 5 = 7{,}5",[577,1477,1479,1536,1627,1645],{"className":1478,"ariaHidden":614},[613],[577,1480,1482,1486,1527,1530,1533],{"className":1481},[618],[577,1483],{"className":1484,"style":1485},[622],"height:0.625em;vertical-align:-0.1944em;",[577,1487,1489,1492],{"className":1488},[627],[577,1490,601],{"className":1491,"style":698},[627,671],[577,1493,1495],{"className":1494},[774],[577,1496,1498,1519],{"className":1497},[639,640],[577,1499,1501,1516],{"className":1500},[644],[577,1502,1504],{"className":1503,"style":784},[648],[577,1505,1507,1510],{"style":1506},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[577,1508],{"className":1509,"style":791},[656],[577,1511,1513],{"className":1512},[661,662,663,664],[577,1514,832],{"className":1515},[627,664],[577,1517,703],{"className":1518},[702],[577,1520,1522],{"className":1521},[644],[577,1523,1525],{"className":1524,"style":807},[648],[577,1526],{},[577,1528],{"className":1529,"style":1241},[936],[577,1531,1210],{"className":1532},[1245],[577,1534],{"className":1535,"style":1241},[936],[577,1537,1539,1543,1618,1621,1624],{"className":1538},[618],[577,1540],{"className":1541,"style":1542},[622],"height:2.0074em;vertical-align:-0.686em;",[577,1544,1546,1549,1615],{"className":1545},[627],[577,1547],{"className":1548},[631,632],[577,1550,1552],{"className":1551},[596],[577,1553,1555,1606],{"className":1554},[639,640],[577,1556,1558,1603],{"className":1557},[644],[577,1559,1562,1574,1582],{"className":1560,"style":1561},[648],"height:1.3214em;",[577,1563,1565,1568],{"style":1564},"top:-2.314em;",[577,1566],{"className":1567,"style":657},[656],[577,1569,1571],{"className":1570},[627],[577,1572,909],{"className":1573},[627],[577,1575,1576,1579],{"style":674},[577,1577],{"className":1578,"style":657},[656],[577,1580],{"className":1581,"style":682},[681],[577,1583,1585,1588],{"style":1584},"top:-3.677em;",[577,1586],{"className":1587,"style":657},[656],[577,1589,1591,1594,1600],{"className":1590},[627],[577,1592,977],{"className":1593},[627],[577,1595,1597],{"className":1596},[627],[577,1598,985],{"className":1599},[984],[577,1601,1005],{"className":1602},[627],[577,1604,703],{"className":1605},[702],[577,1607,1609],{"className":1608},[644],[577,1610,1613],{"className":1611,"style":1612},[648],"height:0.686em;",[577,1614],{},[577,1616],{"className":1617},[716,632],[577,1619],{"className":1620,"style":1384},[936],[577,1622,1349],{"className":1623},[1388],[577,1625],{"className":1626,"style":1384},[936],[577,1628,1630,1633,1636,1639,1642],{"className":1629},[618],[577,1631],{"className":1632,"style":1255},[622],[577,1634,1005],{"className":1635},[627],[577,1637],{"className":1638,"style":1241},[936],[577,1640,1210],{"className":1641},[1245],[577,1643],{"className":1644,"style":1241},[936],[577,1646,1648,1651,1654,1660],{"className":1647},[618],[577,1649],{"className":1650,"style":973},[622],[577,1652,1419],{"className":1653},[627],[577,1655,1657],{"className":1656},[627],[577,1658,985],{"className":1659},[984],[577,1661,1005],{"className":1662},[627],[565,1664,1665,1666,1695,1696,1741,1742,1785],{},"Ein Auto braucht ",[577,1667,1669,1683],{"className":1668},[580],[577,1670,1672],{"className":1671},[584],[586,1673,1674],{"xmlns":588},[590,1675,1676,1681],{},[593,1677,1678],{},[749,1679,1680],{},"8",[606,1682,1680],{"encoding":608},[577,1684,1686],{"className":1685,"ariaHidden":614},[613],[577,1687,1689,1692],{"className":1688},[618],[577,1690],{"className":1691,"style":1255},[622],[577,1693,1680],{"className":1694},[627]," Liter Benzin auf ",[577,1697,1699,1719],{"className":1698},[580],[577,1700,1702],{"className":1701},[584],[586,1703,1704],{"xmlns":588},[590,1705,1706,1716],{},[593,1707,1708,1711,1713],{},[749,1709,1710],{},"100",[911,1712,913],{},[911,1714,1715],{},"km",[606,1717,1718],{"encoding":608},"100\\,\\text{km}",[577,1720,1722],{"className":1721,"ariaHidden":614},[613],[577,1723,1725,1729,1732,1735],{"className":1724},[618],[577,1726],{"className":1727,"style":1728},[622],"height:0.6944em;",[577,1730,1710],{"className":1731},[627],[577,1733],{"className":1734,"style":937},[936],[577,1736,1738],{"className":1737},[627,941],[577,1739,1715],{"className":1740},[627],". Für ",[577,1743,1745,1764],{"className":1744},[580],[577,1746,1748],{"className":1747},[584],[586,1749,1750],{"xmlns":588},[590,1751,1752,1761],{},[593,1753,1754,1757,1759],{},[749,1755,1756],{},"350",[911,1758,913],{},[911,1760,1715],{},[606,1762,1763],{"encoding":608},"350\\,\\text{km}",[577,1765,1767],{"className":1766,"ariaHidden":614},[613],[577,1768,1770,1773,1776,1779],{"className":1769},[618],[577,1771],{"className":1772,"style":1728},[622],[577,1774,1756],{"className":1775},[627],[577,1777],{"className":1778,"style":937},[936],[577,1780,1782],{"className":1781},[627,941],[577,1783,1715],{"className":1784},[627]," braucht es",[577,1787,1789],{"className":1788},[1435],[577,1790,1792,1827],{"className":1791},[580],[577,1793,1795],{"className":1794},[584],[586,1796,1797],{"xmlns":588,"display":1444},[590,1798,1799,1824],{},[593,1800,1801,1807,1809,1815,1817,1819,1821],{},[744,1802,1803,1805],{},[599,1804,601],{},[749,1806,832],{},[1203,1808,1210],{},[596,1810,1811,1813],{},[749,1812,1680],{},[749,1814,1710],{},[1203,1816,1349],{},[749,1818,1756],{},[1203,1820,1210],{},[749,1822,1823],{},"28",[606,1825,1826],{"encoding":608},"y_2 = \\frac{8}{100} \\cdot 350 = 28",[577,1828,1830,1885,1962,1980],{"className":1829,"ariaHidden":614},[613],[577,1831,1833,1836,1876,1879,1882],{"className":1832},[618],[577,1834],{"className":1835,"style":1485},[622],[577,1837,1839,1842],{"className":1838},[627],[577,1840,601],{"className":1841,"style":698},[627,671],[577,1843,1845],{"className":1844},[774],[577,1846,1848,1868],{"className":1847},[639,640],[577,1849,1851,1865],{"className":1850},[644],[577,1852,1854],{"className":1853,"style":784},[648],[577,1855,1856,1859],{"style":1506},[577,1857],{"className":1858,"style":791},[656],[577,1860,1862],{"className":1861},[661,662,663,664],[577,1863,832],{"className":1864},[627,664],[577,1866,703],{"className":1867},[702],[577,1869,1871],{"className":1870},[644],[577,1872,1874],{"className":1873,"style":807},[648],[577,1875],{},[577,1877],{"className":1878,"style":1241},[936],[577,1880,1210],{"className":1881},[1245],[577,1883],{"className":1884,"style":1241},[936],[577,1886,1888,1891,1953,1956,1959],{"className":1887},[618],[577,1889],{"className":1890,"style":1542},[622],[577,1892,1894,1897,1950],{"className":1893},[627],[577,1895],{"className":1896},[631,632],[577,1898,1900],{"className":1899},[596],[577,1901,1903,1942],{"className":1902},[639,640],[577,1904,1906,1939],{"className":1905},[644],[577,1907,1909,1920,1928],{"className":1908,"style":1561},[648],[577,1910,1911,1914],{"style":1564},[577,1912],{"className":1913,"style":657},[656],[577,1915,1917],{"className":1916},[627],[577,1918,1710],{"className":1919},[627],[577,1921,1922,1925],{"style":674},[577,1923],{"className":1924,"style":657},[656],[577,1926],{"className":1927,"style":682},[681],[577,1929,1930,1933],{"style":1584},[577,1931],{"className":1932,"style":657},[656],[577,1934,1936],{"className":1935},[627],[577,1937,1680],{"className":1938},[627],[577,1940,703],{"className":1941},[702],[577,1943,1945],{"className":1944},[644],[577,1946,1948],{"className":1947,"style":1612},[648],[577,1949],{},[577,1951],{"className":1952},[716,632],[577,1954],{"className":1955,"style":1384},[936],[577,1957,1349],{"className":1958},[1388],[577,1960],{"className":1961,"style":1384},[936],[577,1963,1965,1968,1971,1974,1977],{"className":1964},[618],[577,1966],{"className":1967,"style":1255},[622],[577,1969,1756],{"className":1970},[627],[577,1972],{"className":1973,"style":1241},[936],[577,1975,1210],{"className":1976},[1245],[577,1978],{"className":1979,"style":1241},[936],[577,1981,1983,1986],{"className":1982},[618],[577,1984],{"className":1985,"style":1255},[622],[577,1987,1823],{"className":1988},[627],[565,1990,1991,1992,2020],{},"also ",[577,1993,1995,2008],{"className":1994},[580],[577,1996,1998],{"className":1997},[584],[586,1999,2000],{"xmlns":588},[590,2001,2002,2006],{},[593,2003,2004],{},[749,2005,1823],{},[606,2007,1823],{"encoding":608},[577,2009,2011],{"className":2010,"ariaHidden":614},[613],[577,2012,2014,2017],{"className":2013},[618],[577,2015],{"className":2016,"style":1255},[622],[577,2018,1823],{"className":2019},[627]," Liter.",[560,2022,2024],{"id":2023},"typische-fehler","Typische Fehler",[2026,2027,2028,2031,2105],"ul",{},[725,2029,2030],{},"Den Dreisatz bei Zuordnungen verwenden, die nicht proportional sind, z.B. bei Arbeitern und Arbeitszeit. Dort gilt der antiproportionale Dreisatz.",[725,2032,2033,2034,2075,2076,2104],{},"Im zweiten Schritt multiplizieren statt teilen: Um auf ",[577,2035,2037,2054],{"className":2036},[580],[577,2038,2040],{"className":2039},[584],[586,2041,2042],{"xmlns":588},[590,2043,2044,2052],{},[593,2045,2046,2048,2050],{},[749,2047,751],{},[911,2049,913],{},[911,2051,916],{},[606,2053,1164],{"encoding":608},[577,2055,2057],{"className":2056,"ariaHidden":614},[613],[577,2058,2060,2063,2066,2069],{"className":2059},[618],[577,2061],{"className":2062,"style":929},[622],[577,2064,751],{"className":2065},[627],[577,2067],{"className":2068,"style":937},[936],[577,2070,2072],{"className":2071},[627,941],[577,2073,916],{"className":2074},[627]," zu kommen, teilt man durch 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