1. Найдите значение выражения: 3 7 2 4- a) 413:126; б) 3-; 3 3,2 1,35 B) 19,2' г) 3-

a) $$4\frac{3}{13}:1\frac{7}{26} = \frac{4 \cdot 13 + 3}{13} : \frac{1 \cdot 26 + 7}{26} = \frac{55}{13} : \frac{33}{26} = \frac{55}{13} \cdot \frac{26}{33} = \frac{5 \cdot 11 \cdot 2 \cdot 13}{13 \cdot 3 \cdot 11} = \frac{5 \cdot 2}{3} = \frac{10}{3} = 3\frac{1}{3}$$

б) $$\frac{4\frac{2}{7}}{3\frac{3}{14}} = \frac{\frac{4 \cdot 7 + 2}{7}}{\frac{3 \cdot 14 + 3}{14}} = \frac{\frac{30}{7}}{\frac{45}{14}} = \frac{30}{7} : \frac{45}{14} = \frac{30}{7} \cdot \frac{14}{45} = \frac{30 \cdot 14}{7 \cdot 45} = \frac{2 \cdot 15 \cdot 2 \cdot 7}{7 \cdot 3 \cdot 15} = \frac{2 \cdot 2}{3} = \frac{4}{3} = 1\frac{1}{3}$$

в) $$\frac{3,2}{19,2} = \frac{32}{192} = \frac{2 \cdot 16}{12 \cdot 16} = \frac{2}{12} = \frac{1}{6}$$

г) $$\frac{1,35}{3\frac{3}{4}} = \frac{1,35}{3,75} = \frac{135}{375} = \frac{5 \cdot 27}{5 \cdot 75} = \frac{27}{75} = \frac{9 \cdot 3}{25 \cdot 3} = \frac{9}{25}$$

Ответ: a) $$3\frac{1}{3}$$, б) $$1\frac{1}{3}$$, в) $$\frac{1}{6}$$, г) $$\frac{9}{25}$$