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

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

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

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

$$\frac{21}{24}+\frac{10}{24}-\frac{5}{8}$$

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

$$\frac{21+10}{24}-\frac{5}{8}$$

Add 21 and 10 to get 31.

$$\frac{31}{24}-\frac{5}{8}$$

Least common multiple of 24 and 8 is 24. Convert \frac{31}{24} and \frac{5}{8} to fractions with denominator 24.

$$\frac{31}{24}-\frac{15}{24}$$

Since \frac{31}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-15}{24}$$

Subtract 15 from 31 to get 16.

$$\frac{16}{24}$$

Reduce the fraction \frac{16}{24} to lowest terms by extracting and canceling out 8.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$