Question

(2 1/4+3 2/3):(8 1/2-1 2/5)*3 3/5= Решите пожалуйста с объяснением

Answer 1

Ответ:

3

Пошаговое объяснение:

1) 2 1/4 + 3 2/3 = 2 3/12 + 3 8/12 = 5 11/12

2) 8 1/2 - 1 2/5 = 8 5/10 - 1 4/10 = 7 1/10

3) 5 11/12 : 7 1/10 = 71/12 : 71/10 = 71/12 * 10/71 = 5/6

4) 5/6 * 3 3/5 = 5/6 * 18/5 = 3

Answer 2

Ответ:

$(2 \frac{1}{4} + 3 \frac{2}{3} ) \div (8 \frac{1}{2} - 1 \frac{2}{5} ) \times 3 \frac{3}{5} = 3 \\ 1)2 \frac{1}{4} + 3 \frac{2}{3} = \frac{4 \times 2 + 1}{4} + \frac{3 \times 3 + 2}{3} = \\ \frac{9}{4} + \frac{11}{3} = \frac{9 \times 3 + 11 \times 4}{12} = \frac{27 + 44}{12} = \frac{71}{12} \\ 2)8 \frac{1}{2} - 1 \frac{2}{5} = \frac{2 \times 8 + 1}{2} - \frac{5 \times 1 + 2}{5} = \\ \frac{17}{2} - \frac{7}{5} = \frac{17 \times 5 - 7 \times 2}{10} = \frac{85 - 14}{10} = \frac{71}{10} \\ 3) \frac{71}{12} \div \frac{71}{10} = \frac{71}{12} \times \frac{10}{71} = \frac{5}{6} \\ 4) \frac{5}{6} \times 3 \frac{3}{5} = \frac{5}{6} \times \frac{5 \times 3 + 3}{5} = \frac{5}{6} \times \frac{18}{5} = 3$

Ответ: 3