Solve 1+left|.5right|/1-left|.5right|

$$\frac{ 1+ \left| .5 \right| }{ 1- \left| .5 \right| }$$

Evaluate

$$3$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 0.5 is 0.5.

$$\frac{1+0.5}{1-|0.5|}$$

Add 1 and 0.5 to get 1.5.

$$\frac{1.5}{1-|0.5|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 0.5 is 0.5.

$$\frac{1.5}{1-0.5}$$

Subtract 0.5 from 1 to get 0.5.

$$\frac{1.5}{0.5}$$

Expand \frac{1.5}{0.5} by multiplying both numerator and the denominator by 10.

$$\frac{15}{5}$$

Divide 15 by 5 to get 3.

$$3$$

Factor

$$3$$