Вычислите:
а) $\frac{32}{81} * \frac{135}{176}$;
б) $\frac{182}{165} * \frac{495}{2548}$;
в) $\frac{153}{1960} : \frac{867}{17150}$;
г) $\frac{437}{1080} : \frac{361}{1008}$;
д) $\frac{490}{1287} * \frac{2057}{1400}$;
е) $\frac{399}{841} : \frac{361}{812}$.
$\frac{32}{81} * \frac{135}{176} = \frac{2 * 2 * 2 * 2 * 2}{3 * 3 * 3 * 3} * \frac{3 * 3 * 3 * 5}{2 * 2 * 2 * 2 * 11} = \frac{2}{3} * \frac{5}{11} = \frac{10}{33}$
$\frac{182}{165} * \frac{495}{2548} = \frac{2 * 7 * 13}{5 * 3 * 11} * \frac{5 * 3 * 3 * 11}{2 * 2 * 7 * 7 * 13} = \frac{1}{1} * \frac{3}{2 * 7} = \frac{3}{14}$
$\frac{153}{1960} : \frac{867}{17150} = \frac{153}{1960} * \frac{17150}{867} = \frac{3 * 3 * 17}{2 * 2 * 2 * 5 * 7 * 7} * \frac{2 * 5 * 5 * 7 * 7 * 7}{3 * 17 * 17} = \frac{3}{2 * 2} * \frac{5 * 7}{17} = \frac{105}{68} = 1\frac{37}{68}$
$\frac{437}{1080} : \frac{361}{1008} = \frac{437}{1080} * \frac{1008}{361} = \frac{19 * 23}{2 * 2 * 2 * 3 * 3 * 3 * 5} * \frac{2 * 2 * 2 * 2 * 3 * 3 * 7}{19 * 19} = \frac{23}{3 * 5} * \frac{2 * 7}{19} = \frac{322}{285} = 1\frac{37}{285}$
$\frac{490}{1287} * \frac{2057}{1400} = \frac{2 * 5 * 7 * 7}{3 * 3 * 11 * 13} * \frac{11 * 11 * 17}{2 * 2 * 2 * 5 * 5 * 7} = \frac{7}{3 * 3 * 13} * \frac{11 * 17}{2 * 2 * 5} = \frac{1309}{2340}$
$\frac{399}{841} : \frac{361}{812} = \frac{399}{841} * \frac{812}{361} = \frac{3 * 7 * 19}{29 * 29} * \frac{2 * 2 * 7 * 29}{19 * 19} = \frac{3 * 7}{29} * \frac{2 * 2 * 7}{19} = \frac{588}{551} = 1\frac{37}{551}$
Пожауйста, оцените решение