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

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

Evaluate

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

Solution Steps

Least common multiple of 6 and 8 is 24. Convert \frac{5}{6} and \frac{1}{8} to fractions with denominator 24.

$$\frac{7}{8}-\left(\frac{20}{24}-\frac{3}{24}\right)$$

Since \frac{20}{24} and \frac{3}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{8}-\frac{20-3}{24}$$

Subtract 3 from 20 to get 17.

$$\frac{7}{8}-\frac{17}{24}$$

Least common multiple of 8 and 24 is 24. Convert \frac{7}{8} and \frac{17}{24} to fractions with denominator 24.

$$\frac{21}{24}-\frac{17}{24}$$

Since \frac{21}{24} and \frac{17}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-17}{24}$$

Subtract 17 from 21 to get 4.

$$\frac{4}{24}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}$$

Factor

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