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

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

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

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

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

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

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

Subtract 4 from 5 to get 1.

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

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

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

Since \frac{2}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

$$\frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$