Solve =400(6*304-14*76)^2/20*380*82*318

$$= \frac { 400 ( 6 \times 304 - 14 \times 76 ) ^ { 2 } } { 20 \times 380 \times 82 \times 318 }$$

Evaluate

$$\frac{7600}{6519}\approx 1.165822979$$

Solution Steps

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

$$\frac{\left(6\times 304-14\times 76\right)^{2}}{19\times 82\times 318}$$

Multiply 6 and 304 to get 1824.

$$\frac{\left(1824-14\times 76\right)^{2}}{19\times 82\times 318}$$

Multiply 14 and 76 to get 1064.

$$\frac{\left(1824-1064\right)^{2}}{19\times 82\times 318}$$

Subtract 1064 from 1824 to get 760.

$$\frac{760^{2}}{19\times 82\times 318}$$

Calculate 760 to the power of 2 and get 577600.

$$\frac{577600}{19\times 82\times 318}$$

Multiply 19 and 82 to get 1558.

$$\frac{577600}{1558\times 318}$$

Multiply 1558 and 318 to get 495444.

$$\frac{577600}{495444}$$

Reduce the fraction \frac{577600}{495444} to lowest terms by extracting and canceling out 76.

$$\frac{7600}{6519}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2} \cdot 19}{3 \cdot 41 \cdot 53} = 1\frac{1081}{6519} = 1.165822978984507$$