Question

Вычислите значение выражения (4 2/5 : 1 3/5 + 2 4/7 - 8 1/2 : 14) : (2 3/8 - 1 11/14)

Answer 1

$(4 \frac{2}{5} \div 1 \frac{3}{5} + 2 \frac{4}{7} - 8 \frac{1}{2} \div 14) \div (2 \frac{3}{8} - 1 \frac{11}{14} ) = ( \frac{22}{5} \div \frac{8}{5} + 2 \frac{4}{7} - \frac{17}{2} \times \frac{1}{14} ) \div (2 \frac{21}{56} - 1 \frac{44}{56}) = ( \frac{22 \times 5}{5 \times 8} + 2 \frac{4}{7} - \frac{17}{28} ) \div (1 - \frac{23}{56} ) = ( \frac{11}{4} + 2 \frac{16}{28} - \frac{17}{28} ) \div \frac{33}{56} = ( \frac{11}{4} + 2 - \frac{1}{28} ) \times \frac{56}{33} = \frac{11 \times 56}{4 \times 33} + 1 \frac{27}{28} \times \frac{56}{33} = \frac{14}{3} + \frac{55 \times 56}{28 \times 33} = \frac{14}{3} + \frac{5 \times 2}{3} = 4 \frac{2}{3} + \frac{10}{3} = 4 \frac{2}{3} + 3 \frac{1}{3} = 7 \frac{3}{3 } = 8$