10. Вычислите: $$5\frac{6}{5}:\frac{4}{15}-8\frac{1}{4}+1\frac{5}{16}:\frac{4}{7}$$. Запишите полностью решение и ответ.

1) $$5\frac{6}{5}=\frac{5\cdot5+6}{5}=\frac{31}{5}$$

2) $$8\frac{1}{4}=\frac{8\cdot4+1}{4}=\frac{33}{4}$$

3) $$1\frac{5}{16}=\frac{1\cdot16+5}{16}=\frac{21}{16}$$

4) $$\frac{31}{5}:\frac{4}{15}=\frac{31}{5}\cdot\frac{15}{4}=\frac{31\cdot3}{1\cdot4}=\frac{93}{4}$$

5) $$\frac{21}{16}:\frac{4}{7}=\frac{21}{16}\cdot\frac{7}{4}=\frac{147}{64}$$

6) $$\frac{93}{4}-\frac{33}{4}=\frac{60}{4}=15$$

7) $$15+\frac{147}{64}=\frac{15\cdot64}{64}+\frac{147}{64}=\frac{960}{64}+\frac{147}{64}=\frac{1107}{64}=17\frac{19}{64}$$

Ответ: $$17\frac{19}{64}$$