Solve 3x+6/8div5x+10/6

$$\frac { 3 x + 6 } { 8 } \div \frac { 5 x + 10 } { 6 }$$

Evaluate

$$\frac{9}{20}=0.45$$

Short Solution Steps

Divide \frac{3x+6}{8} by \frac{5x+10}{6} by multiplying \frac{3x+6}{8} by the reciprocal of \frac{5x+10}{6}.

$$\frac{\left(3x+6\right)\times 6}{8\left(5x+10\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(3x+6\right)}{4\left(5x+10\right)}$$

Factor the expressions that are not already factored.

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

Cancel out x+2 in both numerator and denominator.

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

Calculate 3 to the power of 2 and get 9.

$$\frac{9}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$