Вычислите:
а) $2\frac{7}{9} * 15$;
б) $28 * 1\frac{3}{4}$;
в) $1\frac{3}{5} * 2\frac{1}{2}$;
г) $3\frac{1}{3} * \frac{3}{5}$;
д) $3\frac{1}{3} : 30$;
е) $6 : 1\frac{1}{2}$;
ж) $1\frac{3}{4} : 10\frac{1}{2}$;
з) $5\frac{1}{5} : \frac{13}{15}$.
$2\frac{7}{9} * 15 = \frac{25}{9} * \frac{15}{1} = \frac{25 * 5}{3 * 1} = \frac{125}{3} = 41\frac{2}{3}$
$28 * 1\frac{3}{4} = \frac{28}{1} * \frac{7}{4} = \frac{28 * 7}{1 * 4} = \frac{7 * 7}{1 * 1} = \frac{49}{1} = 49$
$1\frac{3}{5} * 2\frac{1}{2} = \frac{8}{5} * \frac{5}{2} = \frac{8 * 5}{5 * 2} = \frac{4 * 1}{1 * 1} = \frac{4}{1} = 4$
$3\frac{1}{3} * \frac{3}{5} = \frac{10}{3} * \frac{3}{5} = \frac{10 * 3}{3 * 5} = \frac{2 * 1}{1 * 1} = \frac{2}{1} = 2$
$3\frac{1}{3} : 30 = \frac{10}{3} * \frac{1}{30} = \frac{10 * 1}{3 * 30} = \frac{10 * 1}{3 * 30} = \frac{1 * 1}{3 * 3} = \frac{1}{9}$
$6 : 1\frac{1}{2} = \frac{6}{1} : \frac{3}{2} = \frac{6}{1} * \frac{2}{3} = \frac{6 * 2}{1 * 3} = \frac{2 * 2}{1 * 1} = \frac{4}{1} = 4$
$1\frac{3}{4} : 10\frac{1}{2} = \frac{7}{4} : \frac{21}{2} = \frac{7}{4} * \frac{2}{21} = \frac{7 * 2}{4 * 21} = \frac{1 * 1}{2 * 3} = \frac{1}{6}$
$5\frac{1}{5} : \frac{13}{15} = \frac{26}{5} : \frac{13}{15} = \frac{26}{5} * \frac{15}{13} = \frac{26 * 15}{5 * 13} = \frac{2 * 3}{1 * 1} = \frac{6}{1} = 6$
Пожауйста, оцените решение