Evaluate: /(2 m+4) 5 l \div /(m+2) 10 l ^ 2

Expression: $$\frac { 2 m + 4 } { 5 l } \div \frac { m + 2 } { 10 l ^ { 2 } }$$

Divide $\frac{2m+4}{5l}$ by $\frac{m+2}{10l^{2}}$ by multiplying $\frac{2m+4}{5l}$ by the reciprocal of $\frac{m+2}{10l^{2}}$.

$$\frac{\left(2m+4\right)\times 10l^{2}}{5l\left(m+2\right)}$$

Cancel out $5l$ in both numerator and denominator.

$$\frac{2l\left(2m+4\right)}{m+2}$$

Factor the expressions that are not already factored.

$$\frac{2^{2}l\left(m+2\right)}{m+2}$$

Cancel out $m+2$ in both numerator and denominator.

$$2^{2}l$$

Expand the expression.

$$4l$$