Вычисляем значение частного

1. a) $$5\frac{1}{4}:\frac{4}{5} = \frac{21}{4}:\frac{4}{5} = \frac{21}{4}\cdot\frac{5}{4} = \frac{21\cdot5}{4\cdot4} = \frac{105}{16} = 6\frac{9}{16}$$
2. б) $$\frac{2}{13}:2\frac{2}{13} = \frac{2}{13}:\frac{28}{13} = \frac{2}{13}\cdot\frac{13}{28} = \frac{2\cdot13}{13\cdot28} = \frac{2}{28} = \frac{1}{14}$$
3. в) $$2\frac{4}{7}:1\frac{3}{10} = \frac{18}{7}:\frac{13}{10} = \frac{18}{7}\cdot\frac{10}{13} = \frac{18\cdot10}{7\cdot13} = \frac{180}{91} = 1\frac{89}{91}$$
4. г) $$10\frac{3}{5}:3\frac{3}{5} = \frac{53}{5}:\frac{18}{5} = \frac{53}{5}\cdot\frac{5}{18} = \frac{53\cdot5}{5\cdot18} = \frac{53}{18} = 2\frac{17}{18}$$
5. д) $$5\frac{1}{4}:1\frac{3}{4} = \frac{21}{4}:\frac{7}{4} = \frac{21}{4}\cdot\frac{4}{7} = \frac{21\cdot4}{4\cdot7} = \frac{21}{7} = 3$$
6. е) $$5\frac{3}{7}:3 = \frac{38}{7}:3 = \frac{38}{7}:\frac{3}{1} = \frac{38}{7}\cdot\frac{1}{3} = \frac{38\cdot1}{7\cdot3} = \frac{38}{21} = 1\frac{17}{21}$$
7. ж) $$0:10\frac{7}{15} = 0$$ (Деление нуля на любое число, отличное от нуля, равно нулю.)
8. з) $$5\frac{1}{16}:1 = \frac{81}{16}:1 = \frac{81}{16}:\frac{1}{1} = \frac{81}{16}\cdot\frac{1}{1} = \frac{81\cdot1}{16\cdot1} = \frac{81}{16} = 5\frac{1}{16}$$