Solve 5/8+3/4-7/12

$$\frac { 5 } { 8 } + \frac { 3 } { 4 } - \frac { 7 } { 12 }$$

Evaluate

$$\frac{19}{24}\approx 0.791666667$$

Solution Steps

Least common multiple of 8 and 4 is 8. Convert \frac{5}{8} and \frac{3}{4} to fractions with denominator 8.

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

Since \frac{5}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

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

Add 5 and 6 to get 11.

$$\frac{11}{8}-\frac{7}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{11}{8} and \frac{7}{12} to fractions with denominator 24.

$$\frac{33}{24}-\frac{14}{24}$$

Since \frac{33}{24} and \frac{14}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-14}{24}$$

Subtract 14 from 33 to get 19.

$$\frac{19}{24}$$

Factor

$$\frac{19}{2 ^ {3} \cdot 3} = 0.7916666666666666$$