Question

Simplify:

$\frac{3}{17}÷\frac{8}{17}\times \frac{2}{3}+(-\frac{2}{7})\times \frac{35}{33}÷(-\frac{7}{11})$

Answer 1

By BODMAS rule,

$(\frac{3}{17}÷\frac{8}{17})\times \frac{2}{3}+\left(\frac{-2}{7}\right)\times (\frac{35}{33}÷\left(\frac{-7}{11}\right))$

$=\frac{3}{8}\times \frac{2}{3}-\frac{2}{7}\times \frac{-5}{3}$

$=\frac{6}{24}+\frac{10}{21}$

$=\frac{3}{8}+\frac{5}{7}$

$=\frac{61}{56}$