Solve 11/12+1/6+1/2

$$\frac { 11 } { 12 } + \frac { 1 } { 6 } + \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

Least common multiple of 12 and 6 is 12. Convert \frac{11}{12} and \frac{1}{6} to fractions with denominator 12.

$$\frac{11}{12}+\frac{2}{12}+\frac{1}{2}$$

Since \frac{11}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{11+2}{12}+\frac{1}{2}$$

Add 11 and 2 to get 13.

$$\frac{13}{12}+\frac{1}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{13}{12} and \frac{1}{2} to fractions with denominator 12.

$$\frac{13}{12}+\frac{6}{12}$$

Since \frac{13}{12} and \frac{6}{12} have the same denominator, add them by adding their numerators.

$$\frac{13+6}{12}$$

Add 13 and 6 to get 19.

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

Factor

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