Solve 5/6-34/8

$$\frac { 5 } { 6 } - 3 \frac { 4 } { 8 }$$

Evaluate

$$-\frac{8}{3}\approx -2.666666667$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{5}{6}-\frac{24+4}{8}$$

Add 24 and 4 to get 28.

$$\frac{5}{6}-\frac{28}{8}$$

Reduce the fraction \frac{28}{8} to lowest terms by extracting and canceling out 4.

$$\frac{5}{6}-\frac{7}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{7}{2} to fractions with denominator 6.

$$\frac{5}{6}-\frac{21}{6}$$

Since \frac{5}{6} and \frac{21}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-21}{6}$$

Subtract 21 from 5 to get -16.

$$\frac{-16}{6}$$

Reduce the fraction \frac{-16}{6} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{8}{3} = -2\frac{2}{3} = -2.6666666666666665$$