Solve left(6*306-14*74right)^2*400div(20*380*80*320)

$${ \left(6 \times 306-14 \times 74 \right) }^{ 2 } \times 400 \div (20 \times 380 \times 80 \times 320)$$

Evaluate

$$\frac{25}{19}\approx 1.315789474$$

Solution Steps

Cancel out 20\times 20 in both numerator and denominator.

$$\frac{\left(6\times 306-14\times 74\right)^{2}}{19\times 80\times 320}$$

Multiply 6 and 306 to get 1836.

$$\frac{\left(1836-14\times 74\right)^{2}}{19\times 80\times 320}$$

Multiply 14 and 74 to get 1036.

$$\frac{\left(1836-1036\right)^{2}}{19\times 80\times 320}$$

Subtract 1036 from 1836 to get 800.

$$\frac{800^{2}}{19\times 80\times 320}$$

Calculate 800 to the power of 2 and get 640000.

$$\frac{640000}{19\times 80\times 320}$$

Multiply 19 and 80 to get 1520.

$$\frac{640000}{1520\times 320}$$

Multiply 1520 and 320 to get 486400.

$$\frac{640000}{486400}$$

Reduce the fraction \frac{640000}{486400} to lowest terms by extracting and canceling out 25600.

$$\frac{25}{19}$$

Factor

$$\frac{5 ^ {2}}{19} = 1\frac{6}{19} = 1.3157894736842106$$