Solve -1/12-(-8/16)

$$- \frac { 1 } { 12 } - ( - \frac { 8 } { 16 } )$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Reduce the fraction \frac{8}{16} to lowest terms by extracting and canceling out 8.

$$-\frac{1}{12}-\left(-\frac{1}{2}\right)$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$-\frac{1}{12}+\frac{1}{2}$$

Least common multiple of 12 and 2 is 12. Convert -\frac{1}{12} and \frac{1}{2} to fractions with denominator 12.

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

Since -\frac{1}{12} and \frac{6}{12} have the same denominator, add them by adding their numerators.

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

Add -1 and 6 to get 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$