Задание 66

Решение:

• $${\largeа)}\ \frac{16}{24}=\frac{2\cdot8}{3\cdot8}=\frac{2}{3}$$

• $${\largeб)}\ \frac{240}{1000}=\frac{24\cdot10}{100\cdot10}=\frac{24}{100}=\frac{6\cdot4}{25\cdot4}=\frac{6}{25}$$

• $${\largeв)}\ \frac{1240}{10\ 000}=\frac{124\cdot10}{1000\cdot10}=\frac{124}{1000}=\frac{31\cdot4}{250\cdot4}=\frac{31}{250}$$

• $${\largeг)}\ \frac{1024}{3456}=\frac{128\cdot8}{432\cdot8}=\frac{128}{432}=\frac{16\cdot8}{54\cdot8}=\frac{16}{54}=\frac{8\cdot2}{27\cdot2}=\frac{8}{27}$$

• $${\largeд)}\ \frac{315}{420}=\frac{63\cdot5}{84\cdot5}=\frac{63}{84}=\frac{9\cdot7}{12\cdot7}=\frac{9}{12}=\frac{3\cdot3}{4\cdot3}=\frac{3}{4}$$

• $${\largeе)}\ \frac{630}{1470}=\frac{63\cdot10}{147\cdot10}=\frac{63}{147}=\frac{9\cdot7}{21\cdot7}=\frac{9}{21}=\frac{3\cdot3}{7\cdot3}=\frac{3}{7}$$

• $${\largeж)}\ \frac{660}{616}=\frac{165\cdot4}{154\cdot4}=\frac{165}{154}=\frac{15\cdot11}{14\cdot11}=\frac{15}{14}$$

• $${\largeз)}\ \frac{770}{1320}=\frac{77\cdot10}{132\cdot10}=\frac{77}{132}=\frac{7\cdot11}{12\cdot11}=\frac{7}{12}$$

• $${\largeи)}\ \frac{143}{260}=\frac{11\cdot13}{20\cdot13}=\frac{11}{20}$$

• $${\largeк)}\ \frac{112}{672}=\frac{1\cdot112}{6\cdot112}=\frac{1}{6}$$

• $${\largeл)}\ \frac{450}{540}=\frac{45\cdot10}{54\cdot10}=\frac{45}{54}=\frac{5\cdot9}{6\cdot9}=\frac{5}{6}$$

• $${\largeм)}\ \frac{777}{2121}=\frac{111\cdot7}{303\cdot7}=\frac{111}{303}=\frac{37\cdot3}{101\cdot3}=\frac{37}{101}$$