79. Найдите частное: 1) 9 : 7/3 2) 1 3/17 : 3/32 3) 9/32 : 18 4) 11 2/3 : 3 1/9 5) 2 1/4 : 3 3/5 6) 5 5/6 : 7/18

Решение:

1. \[ 9 : \frac{3}{7} = 9 \times \frac{7}{3} = \frac{9 \times 7}{3} = 3 \times 7 = 21 \]

2. \[ 1\frac{3}{17} : \frac{3}{32} = \frac{20}{17} : \frac{3}{32} = \frac{20}{17} \times \frac{32}{3} = \frac{20 \times 32}{17 \times 3} = \frac{640}{51} \]

3. \[ \frac{9}{32} : 18 = \frac{9}{32} \times \frac{1}{18} = \frac{9}{32 \times 18} = \frac{1}{32 \times 2} = \frac{1}{64} \]

4. \[ 11\frac{2}{3} : 3\frac{1}{9} = \frac{35}{3} : \frac{28}{9} = \frac{35}{3} \times \frac{9}{28} = \frac{35 \times 9}{3 \times 28} = \frac{5 \times 3}{1 \times 4} = \frac{15}{4} \]

5. \[ 2\frac{1}{4} : 3\frac{3}{5} = \frac{9}{4} : \frac{18}{5} = \frac{9}{4} \times \frac{5}{18} = \frac{9 \times 5}{4 \times 18} = \frac{1 \times 5}{4 \times 2} = \frac{5}{8} \]

6. \[ 5\frac{5}{6} : \frac{7}{18} = \frac{35}{6} : \frac{7}{18} = \frac{35}{6} \times \frac{18}{7} = \frac{35 \times 18}{6 \times 7} = \frac{5 \times 3}{1 \times 1} = 15 \]

Ответ: 1) 21, 2) 640/51, 3) 1/64, 4) 15/4, 5) 5/8, 6) 15