Solve 8(-6)+7/7(-6)^2-6

$$\frac { 8 ( - 6 ) + 7 } { 7 ( - 6 ) ^ { 2 } - 6 }$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Multiply 8 and -6 to get -48.

$$\frac{-48+7}{7\left(-6\right)^{2}-6}$$

Add -48 and 7 to get -41.

$$\frac{-41}{7\left(-6\right)^{2}-6}$$

Calculate -6 to the power of 2 and get 36.

$$\frac{-41}{7\times 36-6}$$

Multiply 7 and 36 to get 252.

$$\frac{-41}{252-6}$$

Subtract 6 from 252 to get 246.

$$\frac{-41}{246}$$

Reduce the fraction \frac{-41}{246} to lowest terms by extracting and canceling out 41.

$$-\frac{1}{6}$$

Factor

$$-\frac{1}{6} = -0.16666666666666666$$