Solve 2/3+5/6+1/12=

$$\frac { 2 } { 3 } + \frac { 5 } { 6 } + \frac { 1 } { 12 } =$$

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{2}{3} and \frac{5}{6} to fractions with denominator 6.

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

Since \frac{4}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

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

Add 4 and 5 to get 9.

$$\frac{9}{6}+\frac{1}{12}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

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

Least common multiple of 2 and 12 is 12. Convert \frac{3}{2} and \frac{1}{12} to fractions with denominator 12.

$$\frac{18}{12}+\frac{1}{12}$$

Since \frac{18}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$\frac{18+1}{12}$$

Add 18 and 1 to get 19.

$$\frac{19}{12}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3} = 1\frac{7}{12} = 1.5833333333333333$$