69. Вычислите: а) \(\frac{4}{7}a:\frac{16}{23}\), \(a=7\); б) \(\frac{3}{5}a:\frac{6}{7}\), \(a=5\); в) \(\frac{4}{9}a:\frac{1}{11}\), \(a=11\); г) \(\frac{11}{15}a\cdot\frac{10}{11}\), \(a=2\); д) \(\frac{15}{17}a:\frac{7}{17}\), \(a=1\); е) \(\frac{3}{13}a:\frac{5}{13}\), \(a=4\); ж) \(\frac{5}{9}\cdot\frac{7}{10}a\), \(a=3\); з) \(\frac{1}{3}a:\frac{4}{9}\), \(a=5\); и) \(\frac{8}{17}a\cdot\frac{51}{16}\), \(a=2\); к) \(\frac{51}{50}a:\frac{17}{100}\), \(a=10\); л) \(\frac{7}{11}\cdot\frac{121}{126}a\), \(a=5\); м) \(\frac{5}{12}a\cdot\frac{3}{5}\), \(a=4\).

Question

Вопрос:

69. Вычислите: а) \(\frac{4}{7}a:\frac{16}{23}\), \(a=7\); б) \(\frac{3}{5}a:\frac{6}{7}\), \(a=5\); в) \(\frac{4}{9}a:\frac{1}{11}\), \(a=11\); г) \(\frac{11}{15}a\cdot\frac{10}{11}\), \(a=2\); д) \(\frac{15}{17}a:\frac{7}{17}\), \(a=1\); е) \(\frac{3}{13}a:\frac{5}{13}\), \(a=4\); ж) \(\frac{5}{9}\cdot\frac{7}{10}a\), \(a=3\); з) \(\frac{1}{3}a:\frac{4}{9}\), \(a=5\); и) \(\frac{8}{17}a\cdot\frac{51}{16}\), \(a=2\); к) \(\frac{51}{50}a:\frac{17}{100}\), \(a=10\); л) \(\frac{7}{11}\cdot\frac{121}{126}a\), \(a=5\); м) \(\frac{5}{12}a\cdot\frac{3}{5}\), \(a=4\).

Ответ:

ФИО:Телефон:Емаил:Полное описание сути нарушения прав (почему распространение данной информации запрещено Правообладателем):

Accepted Answer

При делении на дробь умножаем на обратную дробь.

\(\frac{4}{7}\cdot7:\frac{16}{23}=4\cdot\frac{23}{16}=\frac{23}{4}=5\frac{3}{4}\).
\(\frac{3}{5}\cdot5:\frac{6}{7}=3\cdot\frac{7}{6}=\frac{7}{2}=3\frac{1}{2}\).
\(\frac{4}{9}\cdot11:\frac{1}{11}=\frac{44}{9}\cdot11=\frac{484}{9}=53\frac{7}{9}\).
\(\frac{11}{15}\cdot2\cdot\frac{10}{11}=\frac{4}{3}\).
\(\frac{15}{17}:\frac{7}{17}=\frac{15}{7}=2\frac{1}{7}\).
\(\frac{3}{13}\cdot4:\frac{5}{13}=\frac{12}{13}\cdot\frac{13}{5}=\frac{12}{5}=2\frac{2}{5}\).
\(\frac{5}{9}\cdot\frac{7}{10}\cdot3=\frac{7}{6}=1\frac{1}{6}\).
\(\frac{1}{3}\cdot5:\frac{4}{9}=\frac{5}{3}\cdot\frac{9}{4}=\frac{15}{4}=3\frac{3}{4}\).
\(\frac{8}{17}\cdot2\cdot\frac{51}{16}=3\).
\(\frac{51}{50}\cdot10:\frac{17}{100}=6\cdot\frac{100}{17}=\frac{600}{17}=35\frac{5}{17}\).
\(\frac{7}{11}\cdot\frac{121}{126}\cdot5=\frac{35}{18}=1\frac{17}{18}\).
\(\frac{5}{12}\cdot4\cdot\frac{3}{5}=1\).

Ответ: \(5\frac{3}{4};\ 3\frac{1}{2};\ 53\frac{7}{9};\ \frac{4}{3};\ 2\frac{1}{7};\ 2\frac{2}{5};\ 1\frac{1}{6};\ 3\frac{3}{4};\ 3;\ 35\frac{5}{17};\ 1\frac{17}{18};\ 1\).