Solve |-12+6+(-5)|:|-10+5|=

$$| - 12 + 6 + ( - 5 ) | : | - 10 + 5 | =$$

Evaluate

$$\frac{11}{5}=2.2$$

Solution Steps

Add -12 and 6 to get -6.

$$\frac{|-6-5|}{|-10+5|}$$

Subtract 5 from -6 to get -11.

$$\frac{|-11|}{|-10+5|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -11 is 11.

$$\frac{11}{|-10+5|}$$

Add -10 and 5 to get -5.

$$\frac{11}{|-5|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5 is 5.

$$\frac{11}{5}$$

Factor

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$