Question

Simplify; $\frac{\left(-18\frac{1}{3}\times 2\frac{8}{11}\right)-\left(4\frac{5}{7}\times 2\frac{1}{3}\right)}{\left|\frac{3}{5}+\left(\frac{-9}{10}\right)\right|+\left|-\frac{\left(-3\right)}{5}\right|}$

Answer 1

$=\frac{\left(-18\frac{1}{3}\times 2\frac{8}{11}\right)-\left(4\frac{5}{7}\times 2\frac{1}{3}\right)}{\left|\frac{3}{5}+\left(\frac{-9}{10}\right)\right|+\left|-\frac{\left(-3\right)}{5}\right|}$

$=\frac{\left(-\frac{55}{3}\times \frac{30}{11}\right)-\left(\frac{33}{7}\times \frac{7}{3}\right)}{\left|\frac{3}{5}+\frac{-9}{10}\right|+\left|\frac{3}{5}\right|}$

$=\frac{(-50)-\left(11\right)}{\frac{3}{10}+\frac{3}{5}}$

$=\frac{-61}{\frac{3+6}{10}}$

$=\frac{-61}{\frac{9}{10}}$

$=\frac{-610}{9}$