Solve -1/12-(-5/6)=

$$- \frac { 1 } { 12 } - ( - \frac { 5 } { 6 } ) =$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

The opposite of -\frac{5}{6} is \frac{5}{6}.

$$-\frac{1}{12}+\frac{5}{6}$$

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

$$-\frac{1}{12}+\frac{10}{12}$$

Since -\frac{1}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{-1+10}{12}$$

Add -1 and 10 to get 9.

$$\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$