Solve 1/4-(1-11/12)

$$\frac { 1 } { 4 } - ( 1 - \frac { 11 } { 12 } )$$

Evaluate

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

Solution Steps

Convert 1 to fraction \frac{12}{12}.

$$\frac{1}{4}-\left(\frac{12}{12}-\frac{11}{12}\right)$$

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

$$\frac{1}{4}-\frac{12-11}{12}$$

Subtract 11 from 12 to get 1.

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

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

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

Since \frac{3}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 3 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

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