Solve 2/3-1/6+1/8

$$\frac{ 2 }{ 3 } - \frac{ 1 }{ 6 } + \frac{ 1 }{ 8 }$$

Evaluate

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

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{2}{3} and \frac{1}{6} to fractions with denominator 6.

$$\frac{4}{6}-\frac{1}{6}+\frac{1}{8}$$

Since \frac{4}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{6}+\frac{1}{8}$$

Subtract 1 from 4 to get 3.

$$\frac{3}{6}+\frac{1}{8}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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

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

$$\frac{4}{8}+\frac{1}{8}$$

Since \frac{4}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{8}$$

Add 4 and 1 to get 5.

$$\frac{5}{8}$$

Factor

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