1. Найдите произведение a) \(\frac{5}{7} \cdot \frac{6}{9}\) б) \(\frac{6}{25} \cdot \frac{5}{18}\) в) \(\frac{2}{10} \cdot \frac{1}{14}\) г) \(\frac{3}{5} \cdot \frac{1}{14}\)

Решение:

а) \(\frac{5}{7} \cdot \frac{6}{9} = \frac{5 \cdot 6}{7 \cdot 9} = \frac{30}{63} = \frac{10}{21}\)

б) \(\frac{6}{25} \cdot \frac{5}{18} = \frac{6 \cdot 5}{25 \cdot 18} = \frac{30}{450} = \frac{1}{15}\)

в) \(\frac{2}{10} \cdot \frac{1}{14} = \frac{2 \cdot 1}{10 \cdot 14} = \frac{2}{140} = \frac{1}{70}\)

г) \(\frac{3}{5} \cdot \frac{1}{14} = \frac{3 \cdot 1}{5 \cdot 14} = \frac{3}{70}\)

Ответ: а) \(\frac{10}{21}\); б) \(\frac{1}{15}\); в) \(\frac{1}{70}\); г) \(\frac{3}{70}\).