2. Сократите: \(\frac{8}{15}; \frac{42}{56}; \frac{38 \cdot 18}{90}; \frac{9 \cdot 19}{9 \cdot 19}.\)

Решение:

1. \(\frac{8}{15}\) - дробь не сокращается.
2. \(\frac{42}{56} = \frac{7 \cdot 6}{7 \cdot 8} = \frac{6}{8} = \frac{2 \cdot 3}{2 \cdot 4} = \frac{3}{4}\)
3. \(\frac{38 \cdot 18}{90} = \frac{38 \cdot 2 \cdot 9}{10 \cdot 9} = \frac{38 \cdot 2}{10} = \frac{38}{5} = 7\frac{3}{5}\)
4. \(\frac{9 \cdot 19}{9 \cdot 19} = 1\)

Ответ: \(\frac{8}{15}\); \(\frac{3}{4}\); \(7\frac{3}{5}\); 1