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

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

Evaluate

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

Solution Steps

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

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

Multiply 14 and 74 to get 1036.

$$\frac{\left(1036-6\times 306\right)^{2}}{19\times 80\times 320}$$

Multiply 6 and 306 to get 1836.

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

Subtract 1836 from 1036 to get -800.

$$\frac{\left(-800\right)^{2}}{19\times 80\times 320}$$

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

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