ГДЗ ГДЗ Математика 5 класс учебник Мерзляк, Полонский - Номера упражнений - 1056

Задание:

Номер 1056.
Найдите:

Номер 1056.
Выполните умножение:

Решение:

1. \(9\frac{3}{7}\cdot \frac{5}{22}\)

$$ 9\frac{3}{7}=\frac{66}{7} $$

$$ \frac{66}{7}\cdot \frac{5}{22}=\frac{3\cdot 5}{7}=\frac{15}{7}=2\frac{1}{7} $$

2. \(6\frac{3}{8}\cdot \frac{16}{17}\)

$$ 6\frac{3}{8}=\frac{51}{8} $$

$$ \frac{51}{8}\cdot \frac{16}{17}=\frac{3\cdot 16}{8}=\frac{48}{8}=6 $$

3. \(2\frac{1}{3}\cdot 1\frac{1}{5}\)

$$ 2\frac{1}{3}=\frac{7}{3},\qquad 1\frac{1}{5}=\frac{6}{5} $$

$$ \frac{7}{3}\cdot \frac{6}{5}=\frac{14}{5}=2\frac{4}{5} $$

4. \(19\frac{1}{2}\cdot 1\frac{5}{9}\)

$$ 19\frac{1}{2}=\frac{39}{2},\qquad 1\frac{5}{9}=\frac{14}{9} $$

$$ \frac{39}{2}\cdot \frac{14}{9}=\frac{91}{3}=30\frac{1}{3} $$

5. \(2\frac{1}{4}\cdot 2\frac{2}{27}\)

$$ 2\frac{1}{4}=\frac{9}{4},\qquad 2\frac{2}{27}=\frac{56}{27} $$

$$ \frac{9}{4}\cdot \frac{56}{27}=\frac{14}{3}=4\frac{2}{3} $$

6. \(2\frac{8}{11}\cdot 5\frac{2}{15}\)

$$ 2\frac{8}{11}=\frac{30}{11},\qquad 5\frac{2}{15}=\frac{77}{15} $$

$$ \frac{30}{11}\cdot \frac{77}{15}=14 $$

7. \(\frac{7}{9}\cdot 1\frac{1}{14}\cdot 5\frac{2}{5}\)

$$ 1\frac{1}{14}=\frac{15}{14},\qquad 5\frac{2}{5}=\frac{27}{5} $$

$$ \frac{7}{9}\cdot \frac{15}{14}\cdot \frac{27}{5} = \frac{9}{2}=4\frac{1}{2} $$

8. \(2\frac{2}{3}\cdot 1\frac{1}{24}\cdot 5\frac{2}{5}\)

$$ 2\frac{2}{3}=\frac{8}{3},\qquad 1\frac{1}{24}=\frac{25}{24},\qquad 5\frac{2}{5}=\frac{27}{5} $$

$$ \frac{8}{3}\cdot \frac{25}{24}\cdot \frac{27}{5}=15 $$

Ответ

1. \(2\frac{1}{7}\)
2. \(6\)
3. \(2\frac{4}{5}\)
4. \(30\frac{1}{3}\)
5. \(4\frac{2}{3}\)
6. \(14\)
7. \(4\frac{1}{2}\)
8. \(15\)