5. Найдите значение выражения $$\frac{(0,3\cdot7-0,1\cdot19\frac{13}{20}):(1\frac{1}{5}\cdot\frac{9}{20})}{3\frac{1}{4}:1,3}$$

Выполним действия по порядку:

1. $$0,3 \cdot 7 = 2,1$$
2. $$19\frac{13}{20} = \frac{19 \cdot 20 + 13}{20} = \frac{380 + 13}{20} = \frac{393}{20}$$
3. $$0,1 \cdot \frac{393}{20} = \frac{1}{10} \cdot \frac{393}{20} = \frac{393}{200} = 1,965$$
4. $$2,1 - 1,965 = 0,135$$
5. $$1\frac{1}{5} = \frac{1 \cdot 5 + 1}{5} = \frac{6}{5}$$
6. $$\frac{6}{5} \cdot \frac{9}{20} = \frac{6 \cdot 9}{5 \cdot 20} = \frac{54}{100} = 0,54$$
7. $$0,135 : 0,54 = \frac{135}{1000} : \frac{54}{100} = \frac{135}{1000} \cdot \frac{100}{54} = \frac{135}{10 \cdot 54} = \frac{5 \cdot 27}{10 \cdot 2 \cdot 27} = \frac{5}{20} = \frac{1}{4} = 0,25$$
8. $$3\frac{1}{4} = \frac{3 \cdot 4 + 1}{4} = \frac{13}{4}$$
9. $$\frac{13}{4} : 1,3 = \frac{13}{4} : \frac{13}{10} = \frac{13}{4} \cdot \frac{10}{13} = \frac{10}{4} = 2,5$$
10. $$0,25 : 2,5 = \frac{25}{100} : \frac{25}{10} = \frac{25}{100} \cdot \frac{10}{25} = \frac{10}{100} = 0,1$$

Ответ: 0,1