Question

Solve for $m$: $\frac{2m}{2}+\frac{3m}{4}=17$.

• A. $\frac{68}{7}$
• B. $\frac{19}{5}$
• C. $\frac{13}{3}$
• D. None of these

Answer 1

The correct option is A $\frac{68}{7}$

Given, $\frac{2m}{2}+\frac{3m}{4}=17$

L.C.M. of $2$ and $4$ is $4$.

$\Rightarrow \frac{4m+3m}{4}=17$

$\Rightarrow 7m=68$

Divide $7$ on both the sides,

$\frac{7m}{7}=\frac{68}{7}$

$\Rightarrow m=\frac{68}{7}$