Solve x+6/3div2x+12/5

$$\frac { x + 6 } { 3 } \div \frac { 2 x + 12 } { 5 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Short Solution Steps

Divide \frac{x+6}{3} by \frac{2x+12}{5} by multiplying \frac{x+6}{3} by the reciprocal of \frac{2x+12}{5}.

$$\frac{\left(x+6\right)\times 5}{3\left(2x+12\right)}$$

Factor the expressions that are not already factored.

$$\frac{5\left(x+6\right)}{2\times 3\left(x+6\right)}$$

Cancel out x+6 in both numerator and denominator.

$$\frac{5}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$