Solve 1/2+1-2/3

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

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

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

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

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

Add 1 and 2 to get 3.

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

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

$$\frac{9}{6}-\frac{4}{6}$$

Since \frac{9}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{6}$$

Subtract 4 from 9 to get 5.

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

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$