Solve 6(275)-(23)(86)/6(115)-(23)^2

$$\frac { 6 ( 275 ) - ( 23 ) ( 86 ) } { 6 ( 115 ) - ( 23 ) ^ { 2 } }$$

Evaluate

$$-\frac{328}{161}\approx -2.037267081$$

Solution Steps

Multiply 6 and 275 to get 1650.

$$\frac{1650-23\times 86}{6\times 115-23^{2}}$$

Multiply 23 and 86 to get 1978.

$$\frac{1650-1978}{6\times 115-23^{2}}$$

Subtract 1978 from 1650 to get -328.

$$\frac{-328}{6\times 115-23^{2}}$$

Multiply 6 and 115 to get 690.

$$\frac{-328}{690-23^{2}}$$

Calculate 23 to the power of 2 and get 529.

$$\frac{-328}{690-529}$$

Subtract 529 from 690 to get 161.

$$\frac{-328}{161}$$

Fraction \frac{-328}{161} can be rewritten as -\frac{328}{161} by extracting the negative sign.

$$-\frac{328}{161}$$

Factor

$$-\frac{328}{161} = -2\frac{6}{161} = -2.0372670807453415$$