Solve left|-2+1/4+1.5right|

$$\left| -2+ \frac{ 1 }{ 4 } +1.5 \right|$$

Evaluate

$$0.25$$

Solution Steps

Convert -2 to fraction -\frac{8}{4}.

$$|-\frac{8}{4}+\frac{1}{4}+1.5|$$

Since -\frac{8}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$|\frac{-8+1}{4}+1.5|$$

Add -8 and 1 to get -7.

$$|-\frac{7}{4}+1.5|$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$|-\frac{7}{4}+\frac{3}{2}|$$

Least common multiple of 4 and 2 is 4. Convert -\frac{7}{4} and \frac{3}{2} to fractions with denominator 4.

$$|-\frac{7}{4}+\frac{6}{4}|$$

Since -\frac{7}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$|\frac{-7+6}{4}|$$

Add -7 and 6 to get -1.

$$|-\frac{1}{4}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{1}{4} is \frac{1}{4}.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$