Solve 4/3+(-1/2)-(-5/6)

$$\frac { 4 } { 3 } + ( - \frac { 1 } { 2 } ) - ( - \frac { 5 } { 6 } )$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{4}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{8}{6}-\frac{3}{6}-\left(-\frac{5}{6}\right)$$

Since \frac{8}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{6}-\left(-\frac{5}{6}\right)$$

Subtract 3 from 8 to get 5.

$$\frac{5}{6}-\left(-\frac{5}{6}\right)$$

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

$$\frac{5}{6}+\frac{5}{6}$$

Since \frac{5}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+5}{6}$$

Add 5 and 5 to get 10.

$$\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$