Solve 2x+2/3*6/12x+12

$$\frac { 2 x + 2 } { 3 } \cdot \frac { 6 } { 12 x + 12 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Short Solution Steps

Multiply \frac{2x+2}{3} times \frac{6}{12x+12} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

$$\frac{2\left(2x+2\right)}{12x+12}$$

Factor the expressions that are not already factored.

$$\frac{2^{2}\left(x+1\right)}{12\left(x+1\right)}$$

Cancel out x+1 in both numerator and denominator.

$$\frac{2^{2}}{12}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$