Solve (+19/2)+(-5/6

$$( + \frac { 19 } { 2 } ) + ( - \frac { 5 } { 6 }$$

Evaluate

$$\frac{26}{3}\approx 8.666666667$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{19}{2} and \frac{5}{6} to fractions with denominator 6.

$$\frac{57}{6}-\frac{5}{6}$$

Since \frac{57}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-5}{6}$$

Subtract 5 from 57 to get 52.

$$\frac{52}{6}$$

Reduce the fraction \frac{52}{6} to lowest terms by extracting and canceling out 2.

$$\frac{26}{3}$$

Factor

$$\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666$$