Simplify (4m)/(3mn)+2

$\frac{4 m}{3 m n} + 2$

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{4 m}{3 m n} + 2$

Rewrite the expression.

$\frac{4}{3 n} + 2$

To write $2$ as a fraction with a common denominator, multiply by $\frac{3 n}{3 n}$ .

$\frac{4}{3 n} + 2 \cdot \frac{3 n}{3 n}$

Simplify terms.

Combine $2$ and $\frac{3 n}{3 n}$ .

$\frac{4}{3 n} + \frac{2 (3 n)}{3 n}$

Combine the numerators over the common denominator.

$\frac{4 + 2 (3 n)}{3 n}$

Simplify the numerator.

Multiply $2$ by $3$ .

$\frac{4 + 6 n}{3 n}$

Factor $2$ out of $4 + 6 n$ .

Factor $2$ out of $4$ .

$\frac{2 (2) + 6 n}{3 n}$

Factor $2$ out of $6 n$ .

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

Factor $2$ out of $2 (2) + 2 (3 n)$ .

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