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

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

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Cancel out 2\times 25 in both numerator and denominator.

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

Multiply 5 and 10 to get 50.

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

Multiply 5 and 20 to get 100.

$$\frac{\left(50-100\right)^{2}}{10\times 25\times 30}$$

Subtract 100 from 50 to get -50.

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

Calculate -50 to the power of 2 and get 2500.

$$\frac{2500}{10\times 25\times 30}$$

Multiply 10 and 25 to get 250.

$$\frac{2500}{250\times 30}$$

Multiply 250 and 30 to get 7500.

$$\frac{2500}{7500}$$

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

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$