Solve 1/2+1/6+2/12=

$$\frac { 1 } { 2 } + \frac { 1 } { 6 } + \frac { 2 } { 12 } =$$

Evaluate

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

Solution Steps

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

$$\frac{3}{6}+\frac{1}{6}+\frac{2}{12}$$

Since \frac{3}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{6}+\frac{2}{12}$$

Add 3 and 1 to get 4.

$$\frac{4}{6}+\frac{2}{12}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}+\frac{2}{12}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

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

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

$$\frac{4}{6}+\frac{1}{6}$$

Since \frac{4}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{6}$$

Add 4 and 1 to get 5.

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

Factor

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