Solve 50^2/75^2*2

$$\frac{ { 50 }^{ 2 } }{ { 75 }^{ 2 } } \times 2$$

Evaluate

$$\frac{8}{9}\approx 0.888888889$$

Solution Steps

Calculate 50 to the power of 2 and get 2500.

$$\frac{2500}{75^{2}}\times 2$$

Calculate 75 to the power of 2 and get 5625.

$$\frac{2500}{5625}\times 2$$

Reduce the fraction \frac{2500}{5625} to lowest terms by extracting and canceling out 625.

$$\frac{4}{9}\times 2$$

Express \frac{4}{9}\times 2 as a single fraction.

$$\frac{4\times 2}{9}$$

Multiply 4 and 2 to get 8.

$$\frac{8}{9}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2}} = 0.8888888888888888$$