Question

Simplify $:[\frac{6}{55}\times \frac{-22}{9}]-[\frac{26}{125}\times \frac{-10}{39}]$

Answer 1

$[\frac{6}{55}\times \frac{-22}{9}]-[\frac{26}{125}\times \frac{-10}{39}]$

$=[\frac{3\times 2}{11\times 5}\times \frac{-11\times 2}{3\times 3}]-[\frac{13\times 2}{25\times 5}\times \frac{-2\times 5}{39}]$

$=[\frac{2}{5}\times \frac{-2}{3}]-[\frac{2}{25}\times \frac{-2}{3}]$

$=\frac{-4}{15}+\frac{4}{75}$

$=\frac{-20+4}{75}$

$=\frac{-16}{75}$

$\therefore [\frac{6}{55}\times \frac{-22}{9}]-[\frac{26}{125}\times \frac{-10}{39}]=\frac{-16}{75}$