Проверочная работа №3. Задание 1. Найдите разность: a) \(\frac{4}{5} - \frac{3}{4}\); б) \(\frac{3}{10} - \frac{2}{7}\); в) \(\frac{2}{3} - \frac{1}{7}\); г) \(\frac{5}{9} - \frac{1}{3}\); д) \(\frac{5}{6} - \frac{5}{12}\); e) \(\frac{2}{13} - 0\).

**Решение:** a) \(\frac{4}{5} - \frac{3}{4} = \frac{4 \cdot 4 - 3 \cdot 5}{20} = \frac{16 - 15}{20} = \frac{1}{20}\) б) \(\frac{3}{10} - \frac{2}{7} = \frac{3 \cdot 7 - 2 \cdot 10}{70} = \frac{21 - 20}{70} = \frac{1}{70}\) в) \(\frac{2}{3} - \frac{1}{7} = \frac{2 \cdot 7 - 1 \cdot 3}{21} = \frac{14 - 3}{21} = \frac{11}{21}\) г) \(\frac{5}{9} - \frac{1}{3} = \frac{5 - 1 \cdot 3}{9} = \frac{5 - 3}{9} = \frac{2}{9}\) д) \(\frac{5}{6} - \frac{5}{12} = \frac{5 \cdot 2 - 5}{12} = \frac{10 - 5}{12} = \frac{5}{12}\) e) \(\frac{2}{13} - 0 = \frac{2}{13}\) **Ответы:** a) \(\frac{1}{20}\) б) \(\frac{1}{70}\) в) \(\frac{11}{21}\) г) \(\frac{2}{9}\) д) \(\frac{5}{12}\) e) \(\frac{2}{13}\)