Question

[1/2+2/3+5/6]:7/12-2/5*5/6]*1/4:[5*12/25-4/3]

Answer 1

$(( \frac{1}{2} + \frac{2}{3} + \frac{5}{6} ) \div \frac{7}{12} - \frac{2}{5} \times \frac{5}{6} ) \times \frac{1}{4} \div ( 5 \times \frac{12}{25} - \frac{4}{3} ) \\ \\ (( \frac{3}{6} + \frac{4}{6} + \frac{5}{6} ) \times \frac{12}{7} - \frac{1}{1} \times \frac{1}{3} ) \times \frac{1}{4} \div ( \frac{60}{25} - \frac{4}{3} ) \\ \\ ( \frac{12}{6} \times \frac{12}{7} - \frac{1}{3} ) \times \frac{1}{4} \div ( \frac{180}{75} - \frac{100}{75} ) \\ \\ (\frac{12}{1} \times \frac{2}{7} - \frac{1}{3} ) \times \frac{1}{4} \div \frac{80}{75} \\ \\ ( \frac{24}{7} - \frac{1}{3} ) \times \frac{1}{4} \times \frac{75}{80} \\ \\ ( \frac{72}{21} - \frac{7}{21} ) \times \frac{75}{320} \\ \\ \frac{65}{21} \times \frac{15}{64} \\ \\ \frac{65}{7} \times \frac{5}{64} = \frac{325}{448}$