3) $\left(3\frac{1}{4}+2\frac{1}{6}\right):2\frac{3}{5}-\frac{2}{3}:\frac{4}{9}$;

Question

$Фото задания: 3) $\left(3\frac{1}{4}+2\frac{1}{6}\right):2\frac{3}{5}-\frac{2}{3}:\frac{4}{9}$;$ Фото задания

Accepted Answer

$3\frac{1}{4}=\frac{13}{4}$, $2\frac{1}{6}=\frac{13}{6}$, $2\frac{3}{5}=\frac{13}{5}$.

$\frac{13}{4}+\frac{13}{6}=\frac{39+26}{12}=\frac{65}{12}$.

$\frac{65}{12}:\frac{13}{5}=\frac{65}{12}\cdot\frac{5}{13}=\frac{25}{12}$.

$\frac{2}{3}:\frac{4}{9}=\frac{2}{3}\cdot\frac{9}{4}=\frac{3}{2}$.

$\frac{25}{12}-\frac{3}{2}=\frac{25}{12}-\frac{18}{12}=\frac{7}{12}$.

Ответ: $\frac{7}{12}$.

3) \(\left(3\frac{1}{4}+2\frac{1}{6}\right):2\frac{3}{5}-\frac{2}{3}:\frac{4}{9}\);