1. Найдите значение выражения: а) $$4\frac{3}{13}:1\frac{7}{26}$$; б) $$\frac{4\frac{2}{7}}{3\frac{3}{14}}$$; в) $$\frac{3,2}{19,2}$$; г) $$ \frac{1,35}{3\frac{3}{4}}$$.

Решим каждое выражение по отдельности.

1. а) $$4\frac{3}{13}:1\frac{7}{26}$$ = $$\frac{4 \cdot 13 + 3}{13} : \frac{1 \cdot 26 + 7}{26}$$ = $$\frac{55}{13} : \frac{33}{26}$$ = $$\frac{55}{13} \cdot \frac{26}{33}$$ = $$\frac{55 \cdot 26}{13 \cdot 33}$$ = $$\frac{5 \cdot 2}{1 \cdot 3}$$ = $$\frac{10}{3}$$ = $$3\frac{1}{3}$$
2. б) $$\frac{4\frac{2}{7}}{3\frac{3}{14}}$$ = $$4\frac{2}{7} : 3\frac{3}{14}$$ = $$\frac{4 \cdot 7 + 2}{7} : \frac{3 \cdot 14 + 3}{14}$$ = $$\frac{30}{7} : \frac{45}{14}$$ = $$\frac{30}{7} \cdot \frac{14}{45}$$ = $$\frac{30 \cdot 14}{7 \cdot 45}$$ = $$\frac{2 \cdot 2}{1 \cdot 3}$$ = $$\frac{4}{3}$$ = $$1\frac{1}{3}$$
3. в) $$\frac{3,2}{19,2}$$ = $$3,2 : 19,2$$ = $$\frac{32}{10} : \frac{192}{10}$$ = $$\frac{32}{10} \cdot \frac{10}{192}$$ = $$\frac{32 \cdot 10}{10 \cdot 192}$$ = $$\frac{32}{192}$$ = $$\frac{1}{6}$$
4. г) $$ \frac{1,35}{3\frac{3}{4}}$$ = $$1,35 : 3\frac{3}{4}$$ = $$\frac{135}{100} : \frac{3 \cdot 4 + 3}{4}$$ = $$\frac{135}{100} : \frac{15}{4}$$ = $$\frac{135}{100} \cdot \frac{4}{15}$$ = $$\frac{135 \cdot 4}{100 \cdot 15}$$ = $$\frac{9 \cdot 1}{25 \cdot 1}$$ = $$\frac{9}{25}$$ = $$0,36$$

Ответ: а) $$3\frac{1}{3}$$; б) $$1\frac{1}{3}$$; в) $$\frac{1}{6}$$; г) $$0,36$$.