Solve $\frac{x}{2}+ \frac{x}{4}=12$

Given:  $\frac{x}{2}+ \frac{x}{4}=12$ 

To do: Find the value of $x$

Solution:

$\frac{x}{2}+ \frac{x}{4}=12$

Denominators are different , to make them same take LCM

LCM of  2 and 4  is 4

$\frac{x \times 2 }{  2 \times 2}  =  \frac{2 x }{ 4}$

$\frac{x \times 1}{ 4 \times 1}  =  \frac{x }{ 4}$ 

$\frac{2 x }{ 4}  +  \frac{x }{ 4}  =  12$

 Denominators are same now, so we can add directly

$\frac{2 x + x }{ 4}  =  12$

$\frac{3 x}{  4}   =  12$

$3 x     =     12 \times 4$ 

$3 x    =   48$  

$  x     =   \frac{48 }{ 3}$            [$16 \times 3 = 48$]

$x     =  16$

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Updated on: 10-Oct-2022

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