Solve 1/2-1/6-1/12

$$\frac { 1 } { 2 } - \frac { 1 } { 6 } - \frac { 1 } { 12 }$$

Evaluate

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

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{1}{6} to fractions with denominator 6.

$$\frac{3}{6}-\frac{1}{6}-\frac{1}{12}$$

Since \frac{3}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-1}{6}-\frac{1}{12}$$

Subtract 1 from 3 to get 2.

$$\frac{2}{6}-\frac{1}{12}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}-\frac{1}{12}$$

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

$$\frac{4}{12}-\frac{1}{12}$$

Since \frac{4}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{12}$$

Subtract 1 from 4 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

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