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

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

Evaluate

$$\frac{17}{24}\approx 0.708333333$$

Solution Steps

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

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

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

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

Subtract 5 from 6 to get 1.

$$\frac{1}{8}+\frac{7}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{1}{8} and \frac{7}{12} to fractions with denominator 24.

$$\frac{3}{24}+\frac{14}{24}$$

Since \frac{3}{24} and \frac{14}{24} have the same denominator, add them by adding their numerators.

$$\frac{3+14}{24}$$

Add 3 and 14 to get 17.

$$\frac{17}{24}$$

Factor

$$\frac{17}{2 ^ {3} \cdot 3} = 0.7083333333333334$$