Question

$5-\frac{4}{11}=$ $x\frac{7}{11}$. Find x.

Answer 1

We have

$5-\frac{4}{11}=x\frac{7}{11}$

$\Rightarrow \frac{5}{1}-\frac{4}{11}=\frac{11x+7}{11}$

$\Rightarrow \frac{55-4}{11}=\frac{11x+7}{11}\left[L.C.Mof1\&11=11\right]$

$\Rightarrow \frac{51}{11}=\frac{11x+7}{11}\left[cancle11bothsides\right]$

$\Rightarrow 51=11x+7$

$\Rightarrow 11x=51-7$

$\Rightarrow x=\frac{44}{11}\left[divide44by11weget4\right]$

$\therefore x=4$

Hence, the value of $x=4$.