Question

Add$\frac{2x+7}{10x-1}+3$.

Short answer

The sum is$\frac{32x+4}{10x-1}$.

Step-by-step solution

Given Information.

The Given expression is$\frac{2x+7}{10x-1}+3$.

Find the LCD of denominators.    

Since there is no denominator in second fraction.

The LCD is$(10x-1)$.

Rewrite each fraction as an equivalent fraction with the LCD.

$=\frac{2x+7}{(10x-1)}+\frac{3(10x-1)}{10x-1}$

$=\frac{2x+7}{10x-1}+\frac{30x-3}{10x-1}$

Add and simplify the numerator.    

Take common denominator.

$=\frac{2x+7+30x-3}{10x-1}$

Simplify.

$=\frac{32x+4}{10x-1}$