Solve 2mn^2/mn+6mn/2mn^2

$$\frac { 2 m n ^ { 2 } } { m n } + \frac { 6 m n } { 2 m n ^ { 2 } }$$

Evaluate

$$2n+\frac{3}{n}$$

Short Solution Steps

Cancel out mn in both numerator and denominator.

$$2n+\frac{6mn}{2mn^{2}}$$

Cancel out 2mn in both numerator and denominator.

$$2n+\frac{3}{n}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2n times \frac{n}{n}.

$$\frac{2nn}{n}+\frac{3}{n}$$

Since \frac{2nn}{n} and \frac{3}{n} have the same denominator, add them by adding their numerators.

$$\frac{2nn+3}{n}$$

Do the multiplications in 2nn+3.

$$\frac{2n^{2}+3}{n}$$

Factor

$$\frac{2n^{2}+3}{n}$$