Solve 440*left(180*80-140*40right)^2/320*120*220*220

$$\frac{ 440 \times { \left(180 \times 80-140 \times 40 \right) }^{ 2 } }{ 320 \times 120 \times 220 \times 220 }$$

Evaluate

$$\frac{55}{3}\approx 18.333333333$$

Solution Steps

Cancel out 11\times 40 in both numerator and denominator.

$$\frac{\left(80\times 180-40\times 140\right)^{2}}{8\times 20\times 120\times 220}$$

Multiply 80 and 180 to get 14400.

$$\frac{\left(14400-40\times 140\right)^{2}}{8\times 20\times 120\times 220}$$

Multiply 40 and 140 to get 5600.

$$\frac{\left(14400-5600\right)^{2}}{8\times 20\times 120\times 220}$$

Subtract 5600 from 14400 to get 8800.

$$\frac{8800^{2}}{8\times 20\times 120\times 220}$$

Calculate 8800 to the power of 2 and get 77440000.

$$\frac{77440000}{8\times 20\times 120\times 220}$$

Multiply 8 and 20 to get 160.

$$\frac{77440000}{160\times 120\times 220}$$

Multiply 160 and 120 to get 19200.

$$\frac{77440000}{19200\times 220}$$

Multiply 19200 and 220 to get 4224000.

$$\frac{77440000}{4224000}$$

Reduce the fraction \frac{77440000}{4224000} to lowest terms by extracting and canceling out 1408000.

$$\frac{55}{3}$$

Factor

$$\frac{5 \cdot 11}{3} = 18\frac{1}{3} = 18.333333333333332$$