Solve 11/12-5/6+1/12

$$\frac { 11 } { 12 } - \frac { 5 } { 6 } + \frac { 1 } { 12 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 12 and 6 is 12. Convert \frac{11}{12} and \frac{5}{6} to fractions with denominator 12.

$$\frac{11}{12}-\frac{10}{12}+\frac{1}{12}$$

Since \frac{11}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-10}{12}+\frac{1}{12}$$

Subtract 10 from 11 to get 1.

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

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

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

Add 1 and 1 to get 2.

$$\frac{2}{12}$$

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

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$