Solve 5/6+3/8-7/12

$$\frac { 5 } { 6 } + \frac { 3 } { 8 } - \frac { 7 } { 12 }$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 8 is 24. Convert \frac{5}{6} and \frac{3}{8} to fractions with denominator 24.

$$\frac{20}{24}+\frac{9}{24}-\frac{7}{12}$$

Since \frac{20}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

$$\frac{20+9}{24}-\frac{7}{12}$$

Add 20 and 9 to get 29.

$$\frac{29}{24}-\frac{7}{12}$$

Least common multiple of 24 and 12 is 24. Convert \frac{29}{24} and \frac{7}{12} to fractions with denominator 24.

$$\frac{29}{24}-\frac{14}{24}$$

Since \frac{29}{24} and \frac{14}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-14}{24}$$

Subtract 14 from 29 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

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