Вычисли. 1 7 2 3 15 5 382 4'9'3 = 7 13 26 30 14 4'100 100 3 9 18 Β΄10 25 13 33 2840

1. $$1\frac{1}{3} \cdot \frac{7}{15} : \frac{2}{5} = \frac{4}{3} \cdot \frac{7}{15} : \frac{2}{5} = \frac{4}{3} \cdot \frac{7}{15} \cdot \frac{5}{2} = \frac{4 \cdot 7 \cdot 5}{3 \cdot 15 \cdot 2} = \frac{140}{90} = \frac{14}{9} = 1\frac{5}{9}$$
2. $$\frac{3}{4} : \frac{8}{9} \cdot \frac{2}{3} = \frac{3}{4} \cdot \frac{9}{8} \cdot \frac{2}{3} = \frac{3 \cdot 9 \cdot 2}{4 \cdot 8 \cdot 3} = \frac{54}{96} = \frac{9}{16}$$
3. $$\frac{7}{30} : \frac{13}{14} \cdot \frac{26}{100} = \frac{7}{30} \cdot \frac{14}{13} \cdot \frac{26}{100} = \frac{7 \cdot 14 \cdot 26}{30 \cdot 13 \cdot 100} = \frac{2548}{39000} = \frac{49}{750}$$
4. $$\frac{3}{5} \cdot \frac{9}{10} : \frac{18}{25} = \frac{3}{5} \cdot \frac{9}{10} \cdot \frac{25}{18} = \frac{3 \cdot 9 \cdot 25}{5 \cdot 10 \cdot 18} = \frac{675}{900} = \frac{3}{4}$$
5. $$1\frac{1}{2} : \frac{8}{2} \cdot \frac{33}{40} = \frac{3}{2} : 4 \cdot \frac{33}{40} = \frac{3}{2} \cdot \frac{1}{4} \cdot \frac{33}{40} = \frac{3 \cdot 1 \cdot 33}{2 \cdot 4 \cdot 40} = \frac{99}{320}$$

Ответы: $$1\frac{5}{9}$$; 9/16; 49/750; 3/4; 99/320