Solve 100*(300-675)^2/45*55*75*25

$$\frac { 100 \times ( 300 - 675 ) ^ { 2 } } { 45 \times 55 \times 75 \times 25 }$$

Evaluate

$$\frac{100}{33}\approx 3.03030303$$

Solution Steps

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

$$\frac{4\left(300-675\right)^{2}}{9\times 11\times 25\times 75}$$

Subtract 675 from 300 to get -375.

$$\frac{4\left(-375\right)^{2}}{9\times 11\times 25\times 75}$$

Calculate -375 to the power of 2 and get 140625.

$$\frac{4\times 140625}{9\times 11\times 25\times 75}$$

Multiply 4 and 140625 to get 562500.

$$\frac{562500}{9\times 11\times 25\times 75}$$

Multiply 9 and 11 to get 99.

$$\frac{562500}{99\times 25\times 75}$$

Multiply 99 and 25 to get 2475.

$$\frac{562500}{2475\times 75}$$

Multiply 2475 and 75 to get 185625.

$$\frac{562500}{185625}$$

Reduce the fraction \frac{562500}{185625} to lowest terms by extracting and canceling out 5625.

$$\frac{100}{33}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 \cdot 11} = 3\frac{1}{33} = 3.0303030303030303$$