Solve 7/8-5/12+1/6

$$\frac { 7 } { 8 } - \frac { 5 } { 12 } + \frac { 1 } { 6 }$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Least common multiple of 8 and 12 is 24. Convert \frac{7}{8} and \frac{5}{12} to fractions with denominator 24.

$$\frac{21}{24}-\frac{10}{24}+\frac{1}{6}$$

Since \frac{21}{24} and \frac{10}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-10}{24}+\frac{1}{6}$$

Subtract 10 from 21 to get 11.

$$\frac{11}{24}+\frac{1}{6}$$

Least common multiple of 24 and 6 is 24. Convert \frac{11}{24} and \frac{1}{6} to fractions with denominator 24.

$$\frac{11}{24}+\frac{4}{24}$$

Since \frac{11}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{11+4}{24}$$

Add 11 and 4 to get 15.

$$\frac{15}{24}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$