Question

Simplify the following:
$\frac{6}{7}\times 2\frac{4}{5}-\frac{2}{11}\times 8\frac{1}{4}=$ $\frac{x}{10}$. Find x.

Answer 1

We have,

$\Rightarrow \frac{6}{7}\times 2\frac{4}{5}-\frac{2}{11}\times 8\frac{1}{4}=\frac{x}{10}$

$\Rightarrow \frac{6}{7}\times \frac{14}{5}-\frac{2}{11}\times \frac{33}{4}=\frac{x}{10}$

$\Rightarrow \frac{6\times 2}{5}-\frac{3}{2}=\frac{2}{10}$

$\Rightarrow \frac{12}{5}-\frac{3}{2}=\frac{x}{10}\left[L.C.Mof5is2\right]$

$\Rightarrow \frac{24-15}{10}=\frac{x}{10}$

$\Rightarrow x=24-15$

$=9$