Question

$\frac{2}{5}+\frac{6}{10}+\frac{24}{15}=$ $2\frac{x}{15}$. Find x.

Answer 1

For the value of $x$, we have to solve the given equation:-

$\Rightarrow \frac{2}{5}+\frac{6}{10}+\frac{24}{15}=2\frac{x}{15}$

$\Rightarrow \frac{12+18+48}{30}=\frac{30+x}{15}$ {L.C.M of $5,10,15$ is $30$}

$\Rightarrow \frac{78}{30}=\frac{30+x}{15}$ {Cancle $30$ by $15$ we get $2$}

$\Rightarrow \frac{78}{2}=30+x$ {Divide $78$ by $2$ we get $39$}

$\Rightarrow 39=30+x$

$\Rightarrow x=39-30$

$\therefore x=9$