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

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

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert -\frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$-\frac{8}{12}+\frac{3}{12}-\left(-\frac{3}{4}\right)$$

Since -\frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{-8+3}{12}-\left(-\frac{3}{4}\right)$$

Add -8 and 3 to get -5.

$$-\frac{5}{12}-\left(-\frac{3}{4}\right)$$

The opposite of -\frac{3}{4} is \frac{3}{4}.

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

Least common multiple of 12 and 4 is 12. Convert -\frac{5}{12} and \frac{3}{4} to fractions with denominator 12.

$$-\frac{5}{12}+\frac{9}{12}$$

Since -\frac{5}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{-5+9}{12}$$

Add -5 and 9 to get 4.

$$\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$