Solve 1250*(50*900-20000)^2/150*1100*1000*250=

$$\frac { 1250 \times ( 50 \times 900 - 20000 ) ^ { 2 } } { 150 \times 1100 \times 1000 \times 250 } =$$

Evaluate

$$\frac{625}{33}\approx 18.939393939$$

Solution Steps

Cancel out 25\times 50 in both numerator and denominator.

$$\frac{\left(50\times 900-20000\right)^{2}}{3\times 44\times 250\times 1000}$$

Multiply 50 and 900 to get 45000.

$$\frac{\left(45000-20000\right)^{2}}{3\times 44\times 250\times 1000}$$

Subtract 20000 from 45000 to get 25000.

$$\frac{25000^{2}}{3\times 44\times 250\times 1000}$$

Calculate 25000 to the power of 2 and get 625000000.

$$\frac{625000000}{3\times 44\times 250\times 1000}$$

Multiply 3 and 44 to get 132.

$$\frac{625000000}{132\times 250\times 1000}$$

Multiply 132 and 250 to get 33000.

$$\frac{625000000}{33000\times 1000}$$

Multiply 33000 and 1000 to get 33000000.

$$\frac{625000000}{33000000}$$

Reduce the fraction \frac{625000000}{33000000} to lowest terms by extracting and canceling out 1000000.

$$\frac{625}{33}$$

Factor

$$\frac{5 ^ {4}}{3 \cdot 11} = 18\frac{31}{33} = 18.939393939393938$$