Solve =6(91.5)-27(18.9)/6(180)^2-(27)^2

$$= \frac { 6 ( 91.5 ) - 27 ( 18.9 ) } { 6 ( 180 ) ^ { 2 } - ( 27 ) ^ { 2 } }$$

Evaluate

$$\frac{43}{215190}\approx 0.000199823$$

Solution Steps

Multiply 6 and 91.5 to get 549.

$$\frac{549-27\times 18.9}{6\times 180^{2}-27^{2}}$$

Multiply 27 and 18.9 to get 510.3.

$$\frac{549-510.3}{6\times 180^{2}-27^{2}}$$

Subtract 510.3 from 549 to get 38.7.

$$\frac{38.7}{6\times 180^{2}-27^{2}}$$

Calculate 180 to the power of 2 and get 32400.

$$\frac{38.7}{6\times 32400-27^{2}}$$

Multiply 6 and 32400 to get 194400.

$$\frac{38.7}{194400-27^{2}}$$

Calculate 27 to the power of 2 and get 729.

$$\frac{38.7}{194400-729}$$

Subtract 729 from 194400 to get 193671.

$$\frac{38.7}{193671}$$

Expand \frac{38.7}{193671} by multiplying both numerator and the denominator by 10.

$$\frac{387}{1936710}$$

Reduce the fraction \frac{387}{1936710} to lowest terms by extracting and canceling out 9.

$$\frac{43}{215190}$$

Factor

$$\frac{43}{2 \cdot 5 \cdot 797 \cdot 3 ^ {3}} = 0.00019982341186858125$$