Найдите разность: a) \(\frac{4}{5} - \frac{3}{4}\); в) \(\frac{2}{3} - \frac{1}{7}\); д) \(\frac{5}{6} - \(\frac{5}{12}\);

Ответы: a) \(\frac{1}{20}\); в) \(\frac{11}{21}\); д) \(\frac{5}{12}\)

1. \(\frac{4}{5} - \frac{3}{4} = \frac{4 \cdot 4}{5 \cdot 4} - \frac{3 \cdot 5}{4 \cdot 5} = \frac{16}{20} - \frac{15}{20} = \frac{16-15}{20} = \frac{1}{20}\)
2. \(\frac{2}{3} - \frac{1}{7} = \frac{2 \cdot 7}{3 \cdot 7} - \frac{1 \cdot 3}{7 \cdot 3} = \frac{14}{21} - \frac{3}{21} = \frac{14-3}{21} = \frac{11}{21}\)
3. \(\frac{5}{6} - \frac{5}{12} = \frac{5 \cdot 2}{6 \cdot 2} - \frac{5}{12} = \frac{10}{12} - \frac{5}{12} = \frac{10-5}{12} = \frac{5}{12}\)

Ответы: a) \(\frac{1}{20}\); в) \(\frac{11}{21}\); д) \(\frac{5}{12}\)