Solve -5/4-(-1/6)

$$- \frac { 5 } { 4 } - ( - \frac { 1 } { 6 } )$$

Evaluate

$$-\frac{13}{12}\approx -1.083333333$$

Solution Steps

The opposite of -\frac{1}{6} is \frac{1}{6}.

$$-\frac{5}{4}+\frac{1}{6}$$

Least common multiple of 4 and 6 is 12. Convert -\frac{5}{4} and \frac{1}{6} to fractions with denominator 12.

$$-\frac{15}{12}+\frac{2}{12}$$

Since -\frac{15}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{-15+2}{12}$$

Add -15 and 2 to get -13.

$$-\frac{13}{12}$$

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$