Solve 1/2-(0.25)-1/6

$$\frac { 1 } { 2 } - ( 0.25 ) - \frac { 1 } { 6 }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{2}-\frac{1}{4}-\frac{1}{6}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{2}{4}-\frac{1}{4}-\frac{1}{6}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{4}-\frac{1}{6}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{4}-\frac{1}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{3}{12}-\frac{2}{12}$$

Since \frac{3}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{12}$$

Subtract 2 from 3 to get 1.

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

Factor

$$\frac{1}{3 \cdot 2 ^ {2}} = 0.08333333333333333$$