Solve 2/6+1/2+1/3=

$$\frac { 2 } { 6 } + \frac { 1 } { 2 } + \frac { 1 } { 3 } =$$

Evaluate

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

Solution Steps

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

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

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

$$\frac{2}{6}+\frac{3}{6}+\frac{1}{3}$$

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

$$\frac{2+3}{6}+\frac{1}{3}$$

Add 2 and 3 to get 5.

$$\frac{5}{6}+\frac{1}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{5}{6} and \frac{1}{3} to fractions with denominator 6.

$$\frac{5}{6}+\frac{2}{6}$$

Since \frac{5}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{6}$$

Add 5 and 2 to get 7.

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

Factor

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