Solve 110left(1200-400right)^2/60*50*50*60

$$\frac{ 110 { \left(1200-400 \right) }^{ 2 } }{ 60 \times 50 \times 50 \times 60 }$$

Evaluate

$$\frac{352}{45}\approx 7.822222222$$

Solution Steps

Cancel out 10 in both numerator and denominator.

$$\frac{11\left(1200-400\right)^{2}}{6\times 50\times 50\times 60}$$

Subtract 400 from 1200 to get 800.

$$\frac{11\times 800^{2}}{6\times 50\times 50\times 60}$$

Calculate 800 to the power of 2 and get 640000.

$$\frac{11\times 640000}{6\times 50\times 50\times 60}$$

Multiply 11 and 640000 to get 7040000.

$$\frac{7040000}{6\times 50\times 50\times 60}$$

Multiply 6 and 50 to get 300.

$$\frac{7040000}{300\times 50\times 60}$$

Multiply 300 and 50 to get 15000.

$$\frac{7040000}{15000\times 60}$$

Multiply 15000 and 60 to get 900000.

$$\frac{7040000}{900000}$$

Reduce the fraction \frac{7040000}{900000} to lowest terms by extracting and canceling out 20000.

$$\frac{352}{45}$$

Factor

$$\frac{2 ^ {5} \cdot 11}{3 ^ {2} \cdot 5} = 7\frac{37}{45} = 7.822222222222222$$