Solve 2x+4/9div5x+10/12

$$\frac { 2 x + 4 } { 9 } \div \frac { 5 x + 10 } { 12 }$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Short Solution Steps

Divide \frac{2x+4}{9} by \frac{5x+10}{12} by multiplying \frac{2x+4}{9} by the reciprocal of \frac{5x+10}{12}.

$$\frac{\left(2x+4\right)\times 12}{9\left(5x+10\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4\left(2x+4\right)}{3\left(5x+10\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\times 4\left(x+2\right)}{3\times 5\left(x+2\right)}$$

Cancel out x+2 in both numerator and denominator.

$$\frac{2\times 4}{3\times 5}$$

Multiply 2 and 4 to get 8.

$$\frac{8}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$