Question

2 - 1/3 of (7- ( 8 ÷ ( 3/2 - 1/6 ))) ÷ (3/2 + 1/6 ) of 1 1/2​

Answer 1

Answer:

$2 - \frac{1}{3} \times (7 - (8 \div ( \frac{3}{2} - \frac{1}{6} ))) \div ( \frac{3}{2} + \frac{1}{6} ) \times 1 \frac{1}{2} \\ = \frac{2 - \frac{1}{3} \times (7 - ( \frac{8}{ \frac{3}{2} - \frac{1}{6} } ))}{ (\frac{3}{2} + \frac{1}{6} ) \times \frac{3}{2} } \\ = \frac{ \frac{6 - 1}{3} \times (7 - ( \frac{8}{ \frac{9 - 1}{6} })) }{ (\frac{9 + 1}{6}) \times \frac{3}{2} } \\ = \frac{ \frac{5}{3} \times (7 - ( \frac{8}{ \frac{8}{6}} )) }{ \frac{10}{6} \times \frac{3}{2} } \\ = \frac{ \frac{5}{3} \times (7 - (8 \times \frac{6}{8} )) }{ \frac{5}{2} } \\ = \frac{ \frac{5}{3} \times (7 - 6) }{ \frac{5}{2} } \\ = \frac{ \frac{5}{3} \times 1 }{ \frac{5}{2} } \\ = \frac{5}{3} \div \frac{5}{2} \\ = \frac{5}{3} \times \frac{2}{5} \\ \boxed{ = \underline{ \underline{\frac{2}{3} }}}$