Solve ==200(40*120-50*40)^2/80*170*110*19

$$= = \frac { 200 ( 40 \times 120 - 50 \times 40 ) ^ { 2 } } { 80 \times 170 \times 110 \times 19 }$$

Evaluate

$$\frac{196000}{3553}\approx 55.164649592$$

Solution Steps

Cancel out 5\times 40 in both numerator and denominator.

$$\frac{\left(40\times 120-40\times 50\right)^{2}}{2\times 19\times 34\times 110}$$

Multiply 40 and 120 to get 4800.

$$\frac{\left(4800-40\times 50\right)^{2}}{2\times 19\times 34\times 110}$$

Multiply 40 and 50 to get 2000.

$$\frac{\left(4800-2000\right)^{2}}{2\times 19\times 34\times 110}$$

Subtract 2000 from 4800 to get 2800.

$$\frac{2800^{2}}{2\times 19\times 34\times 110}$$

Calculate 2800 to the power of 2 and get 7840000.

$$\frac{7840000}{2\times 19\times 34\times 110}$$

Multiply 2 and 19 to get 38.

$$\frac{7840000}{38\times 34\times 110}$$

Multiply 38 and 34 to get 1292.

$$\frac{7840000}{1292\times 110}$$

Multiply 1292 and 110 to get 142120.

$$\frac{7840000}{142120}$$

Reduce the fraction \frac{7840000}{142120} to lowest terms by extracting and canceling out 40.

$$\frac{196000}{3553}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {3} \cdot 7 ^ {2}}{11 \cdot 17 \cdot 19} = 55\frac{585}{3553} = 55.164649591894175$$