3. Вычислите: 1) $1\frac{7}{15}-\frac{4}{25}$; 2) $6\frac{3}{4}\cdot1\frac{7}{9}$; 3) $3\frac{1}{5}:2\frac{2}{5}$; 4) $\left(48:45-\frac{1}{3}\right)\cdot2\frac{3}{11}+\frac{3}{5}$.

Question

$Фото задания: 3. Вычислите: 1) $1\frac{7}{15}-\frac{4}{25}$; 2) $6\frac{3}{4}\cdot1\frac{7}{9}$; 3) $3\frac{1}{5}:2\frac{2}{5}$; 4)…$ Фото задания

Accepted Answer

$1\frac{7}{15}-\frac{4}{25}=\frac{22}{15}-\frac{4}{25}=\frac{110}{75}-\frac{12}{75}=\frac{98}{75}=1\frac{23}{75}$.
$6\frac{3}{4}\cdot1\frac{7}{9}=\frac{27}{4}\cdot\frac{16}{9}=12$.
$3\frac{1}{5}:2\frac{2}{5}=\frac{16}{5}:\frac{12}{5}=\frac{16}{5}\cdot\frac{5}{12}=\frac{4}{3}=1\frac{1}{3}$.
$\left(48:45-\frac{1}{3}\right)\cdot2\frac{3}{11}+\frac{3}{5}=\left(\frac{16}{15}-\frac{5}{15}\right)\cdot\frac{25}{11}+\frac{3}{5}=\frac{11}{15}\cdot\frac{25}{11}+\frac{3}{5}=\frac{5}{3}+\frac{3}{5}=\frac{34}{15}=2\frac{4}{15}$.

Ответ: 1) $1\frac{23}{75}$; 2) 12; 3) $1\frac{1}{3}$; 4) $2\frac{4}{15}$.

3. Вычислите: 1) \(1\frac{7}{15}-\frac{4}{25}\); 2) \(6\frac{3}{4}\cdot1\frac{7}{9}\); 3) \(3\frac{1}{5}:2\frac{2}{5}\); 4) \(\left(48:45-\frac{1}{3}\right)\cdot2\frac{3}{11}+\frac{3}{5}\).