5 кл Выполните действия: 1 2 3 4 5 6

Решение:

1. \[ \frac{4}{5} : \frac{9}{10} = \frac{4}{5} \times \frac{10}{9} = \frac{4 \times 10}{5 \times 9} = \frac{40}{45} = \frac{8}{9} \]
2. \[ \frac{2}{3} : \frac{1}{6} = \frac{2}{3} \times \frac{6}{1} = \frac{2 \times 6}{3 \times 1} = \frac{12}{3} = 4 \]
3. \[ \frac{5}{6} : \frac{7}{12} = \frac{5}{6} \times \frac{12}{7} = \frac{5 \times 12}{6 \times 7} = \frac{60}{42} = \frac{10}{7} = 1 \frac{3}{7} \]
4. \[ 3 : \frac{1}{3} = 3 \times \frac{3}{1} = \frac{3 \times 3}{1} = 9 \]
5. \[ 2 : \frac{3}{4} = 2 \times \frac{4}{3} = \frac{2 \times 4}{3} = \frac{8}{3} = 2 \frac{2}{3} \]
6. \[ \frac{3}{7} : 5 = \frac{3}{7} : \frac{5}{1} = \frac{3}{7} \times \frac{1}{5} = \frac{3 \times 1}{7 \times 5} = \frac{3}{35} \]

Ответ: 1. \( \frac{8}{9} \) 2. \( 4 \) 3. \( 1 \frac{3}{7} \) 4. \( 9 \) 5. \( 2 \frac{2}{3} \) 6. \( \frac{3}{35} \)