Question

вычислите :
а) 3 9\14 : 2 3\7 * 2\3
б ) 1 \8 * 4\9 : 8 1\3
в) 3 3\8 : 1 1\4 : 3\5

мяу

Answer 1

Ответ:

$а) \frac{51}{98}$

$б) \frac{1}{432}$

$в) \frac{45}{32}$

Пошаговое объяснение:

$a)3 \frac{9}{14} \div 2 \frac{3}{7} \times \frac{2}{3} = \frac{51}{14} \div 2 + \frac{3}{7} \times \frac{2}{3} = \frac{54}{14} \times \frac{1}{2} \times \frac{1}{7} \times 2 = \frac{54}{14} \times \frac{1}{7} = \frac{51}{98}$

$б) \frac{1}{8} \times \frac{4}{9} \div 8 \frac{1}{3} = \frac{1}{8} \times \frac{4}{9} \times \frac{1}{8} \times \frac{1}{3} = \frac{1}{2} \times \frac{1}{9} \times \frac{1}{8} \times \frac{1}{3} = \frac{1}{432}$

$в)3 \frac{3}{8} \div 1 \frac{1}{4} \div \frac{3}{5} = 3 \frac{3}{8} \times \frac{1}{4} \div \frac{3}{5} = \frac{27}{8} \times \frac{1}{4} \div \frac{3}{5} = \frac{27}{8} \times \frac{1}{4} \times \frac{5}{3} = \frac{9}{8} \times \frac{1}{4} \times 5 = \frac{9}{8} \times \frac{1}{4} \times \frac{5}{1} = \frac{9 \times 1 \times 5}{8 \times 4 \times 1} = \frac{45}{8 \times 4 \times 1} = \frac{45}{32}$