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

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

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

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

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

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

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

Add 2 and 1 to get 3.

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

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

$$\frac{9}{6}-\frac{2}{6}$$

Since \frac{9}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{6}$$

Subtract 2 from 9 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$