Solve 2/6p^2+qdiv10/12p^2+2q

$$\frac { 2 } { 6 p ^ { 2 } + q } \div \frac { 10 } { 12 p ^ { 2 } + 2 q }$$

Evaluate

$$\frac{2}{5}=0.4$$

Short Solution Steps

Divide \frac{2}{6p^{2}+q} by \frac{10}{12p^{2}+2q} by multiplying \frac{2}{6p^{2}+q} by the reciprocal of \frac{10}{12p^{2}+2q}.

$$\frac{2\left(12p^{2}+2q\right)}{\left(6p^{2}+q\right)\times 10}$$

Cancel out 2 in both numerator and denominator.

$$\frac{12p^{2}+2q}{5\left(6p^{2}+q\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\left(6p^{2}+q\right)}{5\left(6p^{2}+q\right)}$$

Cancel out 6p^{2}+q in both numerator and denominator.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$