Solve 50(300-50)^2/600*625

$$\frac { 50 ( 300 - 50 ) ^ { 2 } } { 600 \times 625 }$$

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Solution Steps

Cancel out 50 in both numerator and denominator.

$$\frac{\left(300-50\right)^{2}}{12\times 625}$$

Subtract 50 from 300 to get 250.

$$\frac{250^{2}}{12\times 625}$$

Calculate 250 to the power of 2 and get 62500.

$$\frac{62500}{12\times 625}$$

Multiply 12 and 625 to get 7500.

$$\frac{62500}{7500}$$

Reduce the fraction \frac{62500}{7500} to lowest terms by extracting and canceling out 2500.

$$\frac{25}{3}$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$