Solve 5/6+(-4/3)+3/8

$$\frac { 5 } { 6 } + ( - \frac { 4 } { 3 } ) + \frac { 3 } { 8 }$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 3 is 6. Convert \frac{5}{6} and \frac{4}{3} to fractions with denominator 6.

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

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

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

Subtract 8 from 5 to get -3.

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

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

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

Least common multiple of 2 and 8 is 8. Convert -\frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

$$-\frac{4}{8}+\frac{3}{8}$$

Since -\frac{4}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{-4+3}{8}$$

Add -4 and 3 to get -1.

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

Factor

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