Solve 200*(800-4800)^2/100*100*120*80=

$$\frac { 200 \cdot ( 800 - 4800 ) ^ { 2 } } { 100 \cdot 100 \cdot 120 \cdot 80 } =$$

Evaluate

$$\frac{100}{3}\approx 33.333333333$$

Solution Steps

Cancel out 2\times 100 in both numerator and denominator.

$$\frac{\left(800-4800\right)^{2}}{50\times 80\times 120}$$

Subtract 4800 from 800 to get -4000.

$$\frac{\left(-4000\right)^{2}}{50\times 80\times 120}$$

Calculate -4000 to the power of 2 and get 16000000.

$$\frac{16000000}{50\times 80\times 120}$$

Multiply 50 and 80 to get 4000.

$$\frac{16000000}{4000\times 120}$$

Multiply 4000 and 120 to get 480000.

$$\frac{16000000}{480000}$$

Reduce the fraction \frac{16000000}{480000} to lowest terms by extracting and canceling out 160000.

$$\frac{100}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3} = 33\frac{1}{3} = 33.333333333333336$$