Question

Simplify and express the result in the form of a rational number : $(\frac{3}{11}\times \frac{2}{9})+(\frac{-6}{21}÷\frac{1}{-42})-(-1\frac{1}{3}\times \frac{9}{24})-(\frac{-2}{7}\times -21)$

Answer 1

$(\frac{3}{11}\times \frac{2}{9})+(\frac{-6}{21}÷\frac{1}{-42})-(-1\frac{1}{3}\times \frac{9}{24})-(\frac{-2}{7}\times 21)$

$=\left(\frac{2}{11\times 3}\right)+(\frac{-6}{21}\times -42)-(\frac{-2}{3}\times \frac{9}{24})-(-2\times -3)$

$=\left(\frac{2}{33}\right)+\left(12\right)+\left(\frac{1}{4}\right)-\left(6\right)$

$=\left(\frac{2}{33}\right)+\left(\frac{1}{4}\right)+6$

$=\frac{8+33+792}{132}$

$=\frac{833}{132}$