Solve 15/12-(5/6-1/4)

$$\frac { 15 } { 12 } - ( \frac { 5 } { 6 } - \frac { 1 } { 4 } )$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}-\left(\frac{5}{6}-\frac{1}{4}\right)$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{5}{4}-\left(\frac{10}{12}-\frac{3}{12}\right)$$

Since \frac{10}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{4}-\frac{10-3}{12}$$

Subtract 3 from 10 to get 7.

$$\frac{5}{4}-\frac{7}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{5}{4} and \frac{7}{12} to fractions with denominator 12.

$$\frac{15}{12}-\frac{7}{12}$$

Since \frac{15}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-7}{12}$$

Subtract 7 from 15 to get 8.

$$\frac{8}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$