Solve 2x+2/3*6/16x+16

$$\frac { 2 x + 2 } { 3 } \cdot \frac { 6 } { 16 x + 16 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Short Solution Steps

Multiply \frac{2x+2}{3} times \frac{6}{16x+16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(2x+2\right)\times 6}{3\left(16x+16\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2\left(2x+2\right)}{16x+16}$$

Factor the expressions that are not already factored.

$$\frac{2^{2}\left(x+1\right)}{16\left(x+1\right)}$$

Cancel out x+1 in both numerator and denominator.

$$\frac{2^{2}}{16}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{4}{16}$$

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$