Solve 7/8-(5/2-1/6)

$$\frac { 7 } { 8 } - ( \frac { 5 } { 2 } - \frac { 1 } { 6 } )$$

Evaluate

$$-\frac{35}{24}\approx -1.458333333$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{5}{2} and \frac{1}{6} to fractions with denominator 6.

$$\frac{7}{8}-\left(\frac{15}{6}-\frac{1}{6}\right)$$

Since \frac{15}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{8}-\frac{15-1}{6}$$

Subtract 1 from 15 to get 14.

$$\frac{7}{8}-\frac{14}{6}$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$\frac{7}{8}-\frac{7}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{7}{8} and \frac{7}{3} to fractions with denominator 24.

$$\frac{21}{24}-\frac{56}{24}$$

Since \frac{21}{24} and \frac{56}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-56}{24}$$

Subtract 56 from 21 to get -35.

$$-\frac{35}{24}$$

Factor

$$-\frac{35}{24} = -1\frac{11}{24} = -1.4583333333333333$$