Solve 1/6+5/12+5/6

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

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Least common multiple of 6 and 12 is 12. Convert \frac{1}{6} and \frac{5}{12} to fractions with denominator 12.

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

Since \frac{2}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.

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

Add 2 and 5 to get 7.

$$\frac{7}{12}+\frac{5}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{7}{12} and \frac{5}{6} to fractions with denominator 12.

$$\frac{7}{12}+\frac{10}{12}$$

Since \frac{7}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{7+10}{12}$$

Add 7 and 10 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$