Question

{-16/33:8/7:[5/24:(3/8-1/3)+5/3]}:7/5

Answer 1

$( - \frac{16}{33} \div \frac{8}{7} \div ( \frac{5}{24} \div ( \frac{3}{8} - \frac{1}{3} ) + \frac{5}{3} )) \div \frac{7}{5} = ( - \frac{16}{33} \div \frac{8}{7} \div ( \frac{5}{24} \div \frac{3 \times 3 - 1 \times 8}{8 \times 3}+ \frac{5}{3} )) \div \frac{7}{5} = ( - \frac{16}{33} \div \frac{8}{7} \div ( \frac{5}{24} \div \frac{1}{24} + \frac{5}{3} )) \div \frac{7}{5} = ( - \frac{16}{33} \div \frac{8}{7} \div ( \frac{5}{24} \times \frac{24}{1} + \frac{5}{3} )) \div \frac{7}{5} = ( - \frac{16}{33} \div \frac{8}{7} \div (5 + \frac{5}{3} )) \div \frac{7}{5} = ( - \frac{16}{33} \div \frac{8}{7} \div \frac{3 \times 5 + 5}{3} ) \div \frac{7}{5} = ( - \frac{16}{33} \div \frac{8}{7} \div \frac{20}{3} ) \div \frac{7}{5} = ( - \frac{16}{33} \times \frac{7}{8} \div \frac{20}{3} ) \div \frac{7}{5} = ( - \frac{14}{33} \times \frac{3}{20} ) \div \frac{7}{5} = ( - \frac{7}{110} ) \times \frac{5}{7} = - \frac{1}{22}$
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