Solve 200*(3200-1200)^2/100*100*60*140

$$\frac { 200 \cdot ( 3200 - 1200 ) ^ { 2 } } { 100 \cdot 100 \cdot 60 \cdot 140 }$$

Evaluate

$$\frac{200}{21}\approx 9.523809524$$

Solution Steps

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

$$\frac{\left(3200-1200\right)^{2}}{50\times 60\times 140}$$

Subtract 1200 from 3200 to get 2000.

$$\frac{2000^{2}}{50\times 60\times 140}$$

Calculate 2000 to the power of 2 and get 4000000.

$$\frac{4000000}{50\times 60\times 140}$$

Multiply 50 and 60 to get 3000.

$$\frac{4000000}{3000\times 140}$$

Multiply 3000 and 140 to get 420000.

$$\frac{4000000}{420000}$$

Reduce the fraction \frac{4000000}{420000} to lowest terms by extracting and canceling out 20000.

$$\frac{200}{21}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 \cdot 7} = 9\frac{11}{21} = 9.523809523809524$$