А. Найдите значение выражения: 1) (51/60 · 12/17) : 3/10; 2) (12/95 : 9/38) · 15/16; 3) (3 1/12 + 1 5/12) : 1 1/2; 4) 3/4 : 5/6 + 2 1/2 · 2/3 − 1 : 1 1/9; 5) 7 1/8 : 4 3/4 · 8.

Question

Вопрос:

Accepted Answer

1) \(\left(\frac{51}{60}\cdot\frac{12}{17}\right):\frac{3}{10}=\frac{3}{5}:\frac{3}{10}=2\).

2) \(\left(\frac{12}{95}:\frac{9}{38}\right)\cdot\frac{15}{16}=\frac{12}{95}\cdot\frac{38}{9}\cdot\frac{15}{16}=\frac{1}{2}\).

3) \(\left(3\frac{1}{12}+1\frac{5}{12}\right):1\frac{1}{2}=\frac{9}{2}:\frac{3}{2}=3\).

4) \(\frac{3}{4}:\frac{5}{6}+2\frac{1}{2}\cdot\frac{2}{3}-1:1\frac{1}{9}=\frac{9}{10}+\frac{5}{3}-\frac{9}{10}=\frac{5}{3}\).

5) \(7\frac{1}{8}:4\frac{3}{4}\cdot 8=\frac{57}{8}:\frac{19}{4}\cdot 8=12\).

Ответ: 1) 2; 2) \(\frac{1}{2}\); 3) 3; 4) \(\frac{5}{3}\); 5) 12.