# (2)/(3x)+(1)/(4) - addition of fractions

## (2)/(3x)+(1)/(4) - step by step solution for the given fractions. Addition of fractions, full explanation.

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### Solution for the given fractions

• 2/(3*x) + 1/4 = ?
• The common denominator of the two fractions is: 12*x
• 2/(3*x) = (2*4)/(3*4*x) = 8/(12*x)
• 1/4 = (1*3*x)/(3*4*x) = (3*x)/(12*x)
• Fractions adjusted to a common denominator
• 2/(3*x) + 1/4 = 8/(12*x) + (3*x)/(12*x)
• 8/(12*x) + (3*x)/(12*x) = (3*x+8)/(12*x)
• (3*x+8)/(12*x) = (3*x+8)/(12*x)

### Solution for the given fractions

$\frac{2}{(3*x)} +\frac{ 1}{4 }=?$

The common denominator of the two fractions is: 12*x

$\frac{2}{(3*x)} = \frac{(2*4)}{(3*4*x)} =\frac{ 8}{(12*x)}$

$\frac{1}{4 }= \frac{(1*3*x)}{(3*4*x)} = \frac{(3*x)}{(12*x)}$

Fractions adjusted to a common denominator

$\frac{2}{(3*x)} +\frac{ 1}{4 }=\frac{ 8}{(12*x)} + \frac{(3*x)}{(12*x)}$

$\frac{8}{(12*x)} + \frac{(3*x)}{(12*x)} = \frac{(3*x+8)}{(12*x)}$

$\frac{(3*x+8)}{(12*x)} = \frac{(3*x+8)}{(12*x)}$