14. Tan 13 № 2068 3/5 Вычислите: 4:16+33 12-3 195 13 24. Запишите полностью решение и ответ.

Решим пример по действиям:

1) \(\frac{5}{12} - \frac{13}{24} = \frac{5 \cdot 2}{12 \cdot 2} - \frac{13}{24} = \frac{10}{24} - \frac{13}{24} = -\frac{3}{24} = -\frac{1}{8}\)

2) \(3 \frac{3}{5} \cdot \left(-\frac{1}{8}\right) = \frac{18}{5} \cdot \left(-\frac{1}{8}\right) = -\frac{18}{5 \cdot 8} = -\frac{9}{20}\)

3) \(4 : \frac{16}{19} = 4 \cdot \frac{19}{16} = \frac{4 \cdot 19}{16} = \frac{19}{4}\)

4) \(\frac{19}{4} + \left(-\frac{9}{20}\right) = \frac{19}{4} - \frac{9}{20} = \frac{19 \cdot 5}{4 \cdot 5} - \frac{9}{20} = \frac{95}{20} - \frac{9}{20} = \frac{86}{20} = \frac{43}{10} = 4 \frac{3}{10}\)

5) \(4 \frac{3}{10} = \frac{43}{10} = \frac{43 \cdot 19}{10 \cdot 19} = \frac{817}{190}\)

6) \(\frac{817}{190} + \frac{-9}{20} = \frac{817}{190} - \frac{9 \cdot 9.5}{20 \cdot 9.5} = \frac{817 - 85.5}{190} = \frac{731.5}{190} = 3.85\)