Solve 2/8+1/6+5/12

$$\frac { 2 } { 8 } + \frac { 1 } { 6 } + \frac { 5 } { 12 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}+\frac{1}{6}+\frac{5}{12}$$

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{3}{12}+\frac{2}{12}+\frac{5}{12}$$

Since \frac{3}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{12}+\frac{5}{12}$$

Add 3 and 2 to get 5.

$$\frac{5}{12}+\frac{5}{12}$$

Since \frac{5}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+5}{12}$$

Add 5 and 5 to get 10.

$$\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

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

Factor

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