Question

вычислить (2 1/4 + 4 5/6):3 2/5 - 3/4:3/5​

Answer 1

Ответ:

$\frac{13}{12}$

Объяснение:

$\frac{2 \frac{1}{4} + 4 \frac{5}{6} }{3 \frac{2}{5} } - \frac{3}{4} \div \frac{3}{5} = \frac{ \frac{9}{4} + \frac{29}{6} }{ \frac{17}{5} } - \frac{3}{4} \times \frac{5}{3} = \\ \\ \frac{ \frac{9 \times 3}{4 \times 3} + \frac{29 \times 2}{6 \times 2} }{ \frac{17}{5} } - \frac{15}{12} = \frac{ \frac{27}{12} + \frac{58}{12} }{ \frac{17}{5} } - \frac{15}{12} = \\ \\ \frac{ \frac{85}{12} }{ \frac{17}{5} } - \frac{15}{12} = \frac{85 \times 5}{12 \times 17} - \frac{15}{12} = \frac{25}{12} - \frac{15}{12} = \frac{13}{12}$