6. Найдите значение выражения: a) \( 2 \frac{1}{7} : 4 \frac{1}{3} \) б) \( 30 \frac{5}{6} + (7 + 2 \frac{1}{4}) : 1 \frac{1}{7} \)

a) \( 2 \frac{1}{7} : 4 \frac{1}{3} = \frac{15}{7} : \frac{13}{3} = \frac{15}{7} \cdot \frac{3}{13} = \frac{15 \cdot 3}{7 \cdot 13} = \frac{45}{91} \) б) \( 30 \frac{5}{6} + (7 + 2 \frac{1}{4}) : 1 \frac{1}{7} = 30 \frac{5}{6} + (7 + \frac{9}{4}) : \frac{8}{7} = 30 \frac{5}{6} + (\frac{28}{4} + \frac{9}{4}) : \frac{8}{7} = 30 \frac{5}{6} + \frac{37}{4} : \frac{8}{7} = 30 \frac{5}{6} + \frac{37}{4} \cdot \frac{7}{8} = 30 \frac{5}{6} + \frac{259}{32} = 30 \frac{5}{6} + 8 \frac{3}{32} = 30 \frac{80}{96} + 8 \frac{9}{96} = 38 \frac{89}{96} \) Ответ: a) \( \frac{45}{91} \) б) \( 38 \frac{89}{96} \)