ВПР. Математика. 6 класс. Образец 13 Вычислите: 2-\frac{1}{3}:(\frac{5}{8}-\frac{8}{3})+2 \cdot 1\frac{3}{7}. Решение.

\[2\frac{1}{3} = \frac{2 \cdot 3 + 1}{3} = \frac{7}{3}\]

\[\frac{5}{8} - \frac{8}{3} = \frac{5 \cdot 3}{8 \cdot 3} - \frac{8 \cdot 8}{3 \cdot 8} = \frac{15}{24} - \frac{64}{24} = \frac{15 - 64}{24} = \frac{-49}{24}\]

\[\frac{7}{3} : \frac{-49}{24} = \frac{7}{3} \cdot \frac{24}{-49} = \frac{7 \cdot 24}{3 \cdot -49} = \frac{7 \cdot 8}{1 \cdot -49} = \frac{8}{-7} = -\frac{8}{7}\]

\[1\frac{3}{7} = \frac{1 \cdot 7 + 3}{7} = \frac{10}{7}\]

\[2 \cdot \frac{10}{7} = \frac{2 \cdot 10}{7} = \frac{20}{7}\]

\[-\frac{8}{7} + \frac{20}{7} = \frac{-8 + 20}{7} = \frac{12}{7}\]

\[\frac{12}{7} = 1\frac{5}{7}\]