Question

$4\frac{2}{3}+\frac{7}{6}+4=$ $x\frac{5}{6}$. Find x.

Answer 1

We have,

$4\frac{2}{3}+\frac{7}{6}+4=x\frac{5}{6}$

$\Rightarrow \frac{14}{3}+\frac{7}{6}+\frac{4}{1}=\frac{6x+5}{6}$

$\Rightarrow \frac{28+7+24}{6}=\frac{6x+5}{6}\left[L.C.Mof1,3,\&6=6\right]$

$\Rightarrow 28+7+24=6x+5\left[cancle6bothsides\right]$

$\Rightarrow 59=6x+5$

$\Rightarrow 6x=59-5$

$\Rightarrow 6x=54$

$\Rightarrow x=\frac{54}{6}\left[divide54by6weget9\right]$

$\therefore x=9$

$Hence,$

$Thevalueofx=9$