Question

Решите 4/11•6/9-8/15÷(3/5+4 6/7)= пожалуста

Answer 1

$\frac{4}{11} \times \frac{6}{9} - \frac{8}{15} \div ( \frac{3}{5} + 4 \frac{6}{7} ) = \frac{304}{2101} \\ \\ 1) \: \: \: \frac{4}{11} \times \frac{6}{9} = \frac{4 \times 2}{11 \times 3} = \frac{8}{33} \\ 2) \: \: \: \frac{3}{5} + 4 \frac{6}{7} = 4 \frac{3 \times 7 + 6 \times 5}{5 \times 7} = 4 \frac{21 + 30}{35} = 4 \frac{51}{35} = 5 \frac{16}{35} \\ 3) \: \: \: \frac{8}{15} \div 5 \frac{16}{35} = \frac{8}{15} \div \frac{191}{35} = \frac{8 \times 35}{15 \times 191} = \frac{8 \times 7}{3 \times 191} = \frac{56}{573} \\ 4) \: \: \: \frac{8}{33} - \frac{56}{573} = \frac{8 \times 191 - 56 \times 11}{6303} = \frac{1528 - 616}{6303} = \frac{912}{6303} = \frac{304}{2101}$