Solve 500*(40*270-30*160)^2/200*300*70*430approx

$$\frac { 500 \cdot ( 40 \cdot 270 - 30 \cdot 160 ) ^ { 2 } } { 200 \cdot 300 \cdot 70 \cdot 430 } \approx$$

Evaluate

$$\frac{3000}{301}\approx 9.966777409$$

Solution Steps

Cancel out 5\times 100 in both numerator and denominator.

$$\frac{\left(40\times 270-30\times 160\right)^{2}}{2\times 60\times 70\times 430}$$

Multiply 40 and 270 to get 10800.

$$\frac{\left(10800-30\times 160\right)^{2}}{2\times 60\times 70\times 430}$$

Multiply 30 and 160 to get 4800.

$$\frac{\left(10800-4800\right)^{2}}{2\times 60\times 70\times 430}$$

Subtract 4800 from 10800 to get 6000.

$$\frac{6000^{2}}{2\times 60\times 70\times 430}$$

Calculate 6000 to the power of 2 and get 36000000.

$$\frac{36000000}{2\times 60\times 70\times 430}$$

Multiply 2 and 60 to get 120.

$$\frac{36000000}{120\times 70\times 430}$$

Multiply 120 and 70 to get 8400.

$$\frac{36000000}{8400\times 430}$$

Multiply 8400 and 430 to get 3612000.

$$\frac{36000000}{3612000}$$

Reduce the fraction \frac{36000000}{3612000} to lowest terms by extracting and canceling out 12000.

$$\frac{3000}{301}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5 ^ {3}}{7 \cdot 43} = 9\frac{291}{301} = 9.966777408637874$$