Solve 50left(10*5-15*20right)^2/30*20*25*25

$$\frac{ 50 { \left(10 \cdot 5-15 \times 20 \right) }^{ 2 } }{ 30 \cdot 20 \cdot 25 \cdot 25 }$$

Evaluate

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

Solution Steps

Cancel out 5\times 10 in both numerator and denominator.

$$\frac{\left(5\times 10-15\times 20\right)^{2}}{3\times 4\times 25\times 25}$$

Multiply 5 and 10 to get 50.

$$\frac{\left(50-15\times 20\right)^{2}}{3\times 4\times 25\times 25}$$

Multiply 15 and 20 to get 300.

$$\frac{\left(50-300\right)^{2}}{3\times 4\times 25\times 25}$$

Subtract 300 from 50 to get -250.

$$\frac{\left(-250\right)^{2}}{3\times 4\times 25\times 25}$$

Calculate -250 to the power of 2 and get 62500.

$$\frac{62500}{3\times 4\times 25\times 25}$$

Multiply 3 and 4 to get 12.

$$\frac{62500}{12\times 25\times 25}$$

Multiply 12 and 25 to get 300.

$$\frac{62500}{300\times 25}$$

Multiply 300 and 25 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

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