Question

Simplify : $\frac{(-18\frac{1}{3}\times 2\frac{8}{11})}{|\frac{3}{5}+\left(\frac{-9}{10}\right)|+|-\left(\frac{-3}{5}\right)|}$

• A. 63$\frac{4}{81}$
• B. -23$\frac{7}{9}$
• C. -67$\frac{7}{9}$
• D. 12$\frac{6}{17}$

Answer 1

The correct option is C -67$\frac{7}{9}$

$\frac{(-18\frac{1}{3}\times 2\frac{8}{11})}{|\frac{3}{5}+\left(\frac{-9}{10}\right)|+|-\left(\frac{-3}{5}\right)|}$

$=\frac{-\frac{55}{3}\times \frac{30}{11}}{\left|\frac{6-9}{10}\right|+\frac{3}{5}}$

$=\frac{\frac{-55\times 30}{33}}{\frac{3}{10}+\frac{3}{5}}$

$=\frac{\frac{-55\times 30}{33}}{\frac{9}{50}}$

$=\frac{-55\times 30\times 50}{33\times 9}$

$=\frac{-5\times 10\times 50}{9}$

$=-67\frac{7}{9}$