Question

Simplify the following:
$\frac{9}{12}-\frac{18}{24}\times \frac{7}{24}+\frac{2}{6}=$ $\frac{x}{96}$.Find x.

Answer 1

We have,

$\frac{9}{12}-\frac{18}{24}\times \frac{7}{24}+\frac{2}{6}=\frac{x}{96}$

$\Rightarrow \frac{9}{12}-\frac{18}{24}\times \frac{7}{24}+\frac{2}{6}=\frac{x}{96}$

$\Rightarrow \frac{9}{12}-\frac{21}{96}+\frac{2}{6}=\frac{x}{96}$

$\Rightarrow \frac{72-21+32}{96}=\frac{x}{96}$

$\Rightarrow \frac{83}{96}=\frac{x}{96}$ [Cancle both sides $96$]

$\therefore x=83$

Hence,

The value of $x=83$.