Solve 2x-8/9*7/8x-32

$$\frac { 2 x - 8 } { 9 } \cdot \frac { 7 } { 8 x - 32 }$$

Evaluate

$$\frac{7}{36}\approx 0.194444444$$

Short Solution Steps

Multiply \frac{2x-8}{9} times \frac{7}{8x-32} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(2x-8\right)\times 7}{9\left(8x-32\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\times 7\left(x-4\right)}{8\times 9\left(x-4\right)}$$

Cancel out 2\left(x-4\right) in both numerator and denominator.

$$\frac{7}{4\times 9}$$

Multiply 4 and 9 to get 36.

$$\frac{7}{36}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3 ^ {2}} = 0.19444444444444445$$