Solve 1/4+1/2-(-1/3)

$$\frac { 1 } { 4 } + \frac { 1 } { 2 } - ( - \frac { 1 } { 3 } )$$

Evaluate

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

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{1}{4}+\frac{2}{4}-\left(-\frac{1}{3}\right)$$

Since \frac{1}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{4}-\left(-\frac{1}{3}\right)$$

Add 1 and 2 to get 3.

$$\frac{3}{4}-\left(-\frac{1}{3}\right)$$

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

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

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{9}{12}+\frac{4}{12}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{12}$$

Add 9 and 4 to get 13.

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

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$