Solve 300(4800-2700)^2/210*90*225*75

$$\frac { 300 ( 4800 - 2700 ) ^ { 2 } } { 210 \times 90 \times 225 \times 75 }$$

Evaluate

$$\frac{112}{27}\approx 4.148148148$$

Solution Steps

Cancel out 10\times 30 in both numerator and denominator.

$$\frac{\left(4800-2700\right)^{2}}{7\times 9\times 75\times 225}$$

Subtract 2700 from 4800 to get 2100.

$$\frac{2100^{2}}{7\times 9\times 75\times 225}$$

Calculate 2100 to the power of 2 and get 4410000.

$$\frac{4410000}{7\times 9\times 75\times 225}$$

Multiply 7 and 9 to get 63.

$$\frac{4410000}{63\times 75\times 225}$$

Multiply 63 and 75 to get 4725.

$$\frac{4410000}{4725\times 225}$$

Multiply 4725 and 225 to get 1063125.

$$\frac{4410000}{1063125}$$

Reduce the fraction \frac{4410000}{1063125} to lowest terms by extracting and canceling out 39375.

$$\frac{112}{27}$$

Factor

$$\frac{2 ^ {4} \cdot 7}{3 ^ {3}} = 4\frac{4}{27} = 4.148148148148148$$