Solve left(100*30-30*40right)^2/130*70*140*60

$$\frac{ { \left(100 \times 30-30 \times 40 \right) }^{ 2 } }{ 130 \times 70 \times 140 \times 60 }$$

Evaluate

$$\frac{27}{637}\approx 0.042386185$$

Solution Steps

Multiply 100 and 30 to get 3000.

$$\frac{\left(3000-30\times 40\right)^{2}}{130\times 70\times 140\times 60}$$

Multiply 30 and 40 to get 1200.

$$\frac{\left(3000-1200\right)^{2}}{130\times 70\times 140\times 60}$$

Subtract 1200 from 3000 to get 1800.

$$\frac{1800^{2}}{130\times 70\times 140\times 60}$$

Calculate 1800 to the power of 2 and get 3240000.

$$\frac{3240000}{130\times 70\times 140\times 60}$$

Multiply 130 and 70 to get 9100.

$$\frac{3240000}{9100\times 140\times 60}$$

Multiply 9100 and 140 to get 1274000.

$$\frac{3240000}{1274000\times 60}$$

Multiply 1274000 and 60 to get 76440000.

$$\frac{3240000}{76440000}$$

Reduce the fraction \frac{3240000}{76440000} to lowest terms by extracting and canceling out 120000.

$$\frac{27}{637}$$

Factor

$$\frac{3 ^ {3}}{7 ^ {2} \cdot 13} = 0.0423861852433281$$