Solve -5-(-2)+8-4(5)/6-4(-3)

$$\frac { - 5 - ( - 2 ) + 8 - 4 ( 5 ) } { 6 - 4 ( - 3 ) }$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

The opposite of -2 is 2.

$$\frac{-5+2+8-4\times 5}{6-4\left(-3\right)}$$

Add -5 and 2 to get -3.

$$\frac{-3+8-4\times 5}{6-4\left(-3\right)}$$

Add -3 and 8 to get 5.

$$\frac{5-4\times 5}{6-4\left(-3\right)}$$

Multiply 4 and 5 to get 20.

$$\frac{5-20}{6-4\left(-3\right)}$$

Subtract 20 from 5 to get -15.

$$\frac{-15}{6-4\left(-3\right)}$$

Multiply 4 and -3 to get -12.

$$\frac{-15}{6-\left(-12\right)}$$

The opposite of -12 is 12.

$$\frac{-15}{6+12}$$

Add 6 and 12 to get 18.

$$\frac{-15}{18}$$

Reduce the fraction \frac{-15}{18} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{6}$$

Factor

$$-\frac{5}{6} = -0.8333333333333334$$