Solve 3+3|-8-5|/5+5(-8)

$$\frac { 3 + 3 | - 8 - 5 | } { 5 + 5 ( - 8 ) }$$

Evaluate

$$-\frac{6}{5}=-1.2$$

Solution Steps

Subtract 5 from -8 to get -13.

$$\frac{3+3|-13|}{5+5\left(-8\right)}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -13 is 13.

$$\frac{3+3\times 13}{5+5\left(-8\right)}$$

Multiply 3 and 13 to get 39.

$$\frac{3+39}{5+5\left(-8\right)}$$

Add 3 and 39 to get 42.

$$\frac{42}{5+5\left(-8\right)}$$

Multiply 5 and -8 to get -40.

$$\frac{42}{5-40}$$

Subtract 40 from 5 to get -35.

$$\frac{42}{-35}$$

Reduce the fraction \frac{42}{-35} to lowest terms by extracting and canceling out 7.

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

Factor

$$-\frac{6}{5} = -1\frac{1}{5} = -1.2$$