Решение примеров по действиям:

a)

$$5 \frac{1}{3} * 2 \frac{1}{4} : \frac{4}{5} = \frac{16}{3} * \frac{9}{4} : \frac{4}{5}$$

1) $$\frac{16}{3} * \frac{9}{4} = \frac{16 * 9}{3 * 4} = \frac{4 * 3}{1 * 1} = 12$$

2) $$12 : \frac{4}{5} = 12 * \frac{5}{4} = \frac{12 * 5}{4} = \frac{3 * 5}{1} = 15$$

Ответ: 15

б)

$$\left(2 \frac{1}{2} + 1 \frac{1}{3}\right) : \frac{1}{6} - 5 \frac{3}{7} = \left(\frac{5}{2} + \frac{4}{3}\right) : \frac{1}{6} - \frac{38}{7}$$

1) $$\frac{5}{2} + \frac{4}{3} = \frac{5 * 3 + 4 * 2}{6} = \frac{15 + 8}{6} = \frac{23}{6}$$

2) $$\frac{23}{6} : \frac{1}{6} = \frac{23}{6} * 6 = 23$$

3) $$23 - \frac{38}{7} = \frac{23 * 7 - 38}{7} = \frac{161 - 38}{7} = \frac{123}{7} = 17 \frac{4}{7}$$

Ответ: $$17 \frac{4}{7}$$

a)

$$\frac{6}{25} : \frac{9}{5} = \frac{6}{25} * \frac{5}{9} = \frac{6 * 5}{25 * 9} = \frac{2 * 1}{5 * 3} = \frac{2}{15}$$

Ответ: $$\frac{2}{15}$$

б)

$$6 \frac{2}{3} : 1 \frac{1}{8} = \frac{20}{3} : \frac{9}{8} = \frac{20}{3} * \frac{8}{9} = \frac{20 * 8}{3 * 9} = \frac{160}{27} = 5 \frac{25}{27}$$

Ответ: $$5 \frac{25}{27}$$

г)

$$57 : \frac{19}{24} = 57 * \frac{24}{19} = \frac{57 * 24}{19} = \frac{3 * 24}{1} = 72$$

Ответ: 72

д)

$$9 \frac{5}{7} : 1 \frac{23}{28} = \frac{68}{7} : \frac{51}{28} = \frac{68}{7} * \frac{28}{51} = \frac{68 * 28}{7 * 51} = \frac{68 * 4}{1 * 51} = \frac{272}{51} = 5 \frac{17}{51} = 5 \frac{1}{3}$$

Ответ: $$5 \frac{1}{3}$$

e)

$$\frac{36}{47} : 18 = \frac{36}{47} * \frac{1}{18} = \frac{36 * 1}{47 * 18} = \frac{2 * 1}{47 * 1} = \frac{2}{47}$$

Ответ: $$\frac{2}{47}$$