Solve 2/6-5/8+1/6=

$$\frac { 2 } { 6 } - \frac { 5 } { 8 } + \frac { 1 } { 6 } =$$

Evaluate

$$-\frac{1}{8}=-0.125$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}-\frac{5}{8}+\frac{1}{6}$$

Least common multiple of 3 and 8 is 24. Convert \frac{1}{3} and \frac{5}{8} to fractions with denominator 24.

$$\frac{8}{24}-\frac{15}{24}+\frac{1}{6}$$

Since \frac{8}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-15}{24}+\frac{1}{6}$$

Subtract 15 from 8 to get -7.

$$-\frac{7}{24}+\frac{1}{6}$$

Least common multiple of 24 and 6 is 24. Convert -\frac{7}{24} and \frac{1}{6} to fractions with denominator 24.

$$-\frac{7}{24}+\frac{4}{24}$$

Since -\frac{7}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{-7+4}{24}$$

Add -7 and 4 to get -3.

$$\frac{-3}{24}$$

Reduce the fraction \frac{-3}{24} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{8}$$

Factor

$$-\frac{1}{8} = -0.125$$