Solve 1/2+3/2-2/3

$$\frac { 1 } { 2 } + \frac { 3 } { 2 } - \frac { 2 } { 3 }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Since \frac{1}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{2}-\frac{2}{3}$$

Add 1 and 3 to get 4.

$$\frac{4}{2}-\frac{2}{3}$$

Divide 4 by 2 to get 2.

$$2-\frac{2}{3}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{6}{3}-\frac{2}{3}$$

Since \frac{6}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-2}{3}$$

Subtract 2 from 6 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$