Solve 5/12-(-1/3)+(-1/4)

$$\frac { 5 } { 12 } - ( - \frac { 1 } { 3 } ) + ( - \frac { 1 } { 4 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

The opposite of -\frac{1}{3} is \frac{1}{3}.

$$\frac{5}{12}+\frac{1}{3}-\frac{1}{4}$$

Least common multiple of 12 and 3 is 12. Convert \frac{5}{12} and \frac{1}{3} to fractions with denominator 12.

$$\frac{5}{12}+\frac{4}{12}-\frac{1}{4}$$

Since \frac{5}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{12}-\frac{1}{4}$$

Add 5 and 4 to get 9.

$$\frac{9}{12}-\frac{1}{4}$$

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

$$\frac{3}{4}-\frac{1}{4}$$

Since \frac{3}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-1}{4}$$

Subtract 1 from 3 to get 2.

$$\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$