Ф) 9 --- 10 ⋅ 1 1/4 : 2 4/7 ⋅ 24 - 2 4/15 : (1 1/5 - 2/3)

Ф)

Выполним действия по порядку:

1) $$1\frac{1}{4} = \frac{1 \cdot 4 + 1}{4} = \frac{5}{4}$$

2) $$2\frac{4}{7} = \frac{2 \cdot 7 + 4}{7} = \frac{18}{7}$$

3) $$1\frac{1}{5} = \frac{1 \cdot 5 + 1}{5} = \frac{6}{5}$$

4) $$2\frac{4}{15} = \frac{2 \cdot 15 + 4}{15} = \frac{34}{15}$$

5) $$\frac{9}{10} \cdot \frac{5}{4} = \frac{9 \cdot 5}{10 \cdot 4} = \frac{9 \cdot 1}{2 \cdot 4} = \frac{9}{8}$$

6) $$\frac{9}{8} : \frac{18}{7} = \frac{9}{8} \cdot \frac{7}{18} = \frac{1 \cdot 7}{8 \cdot 2} = \frac{7}{16}$$

7) $$\frac{7}{16} \cdot 24 = \frac{7 \cdot 24}{16} = \frac{7 \cdot 3}{2} = \frac{21}{2}$$

8) $$\frac{6}{5} - \frac{2}{3} = \frac{6 \cdot 3 - 2 \cdot 5}{15} = \frac{18 - 10}{15} = \frac{8}{15}$$

9) $$\frac{34}{15} : \frac{8}{15} = \frac{34}{15} \cdot \frac{15}{8} = \frac{34}{8} = \frac{17}{4}$$

10) $$\frac{21}{2} - \frac{17}{4} = \frac{21 \cdot 2 - 17}{4} = \frac{42 - 17}{4} = \frac{25}{4} = 6\frac{1}{4}$$

Ответ: 6 1/4