Solve 5/8-1/2+2/12

$$\frac { 5 } { 8 } - \frac { 1 } { 2 } + \frac { 2 } { 12 }$$

Evaluate

$$\frac{7}{24}\approx 0.291666667$$

Solution Steps

Least common multiple of 8 and 2 is 8. Convert \frac{5}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{5}{8}-\frac{4}{8}+\frac{2}{12}$$

Since \frac{5}{8} and \frac{4}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-4}{8}+\frac{2}{12}$$

Subtract 4 from 5 to get 1.

$$\frac{1}{8}+\frac{2}{12}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{8}+\frac{1}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{1}{8} and \frac{1}{6} to fractions with denominator 24.

$$\frac{3}{24}+\frac{4}{24}$$

Since \frac{3}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{24}$$

Add 3 and 4 to get 7.

$$\frac{7}{24}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 3} = 0.2916666666666667$$