Solve 13/3-3/2

$$\frac { 13 } { 3 } - \frac { 3 } { 2 }$$

Evaluate

$$\frac{17}{6}\approx 2.833333333$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{13}{3} and \frac{3}{2} to fractions with denominator 6.

$$\frac{26}{6}-\frac{9}{6}$$

Since \frac{26}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-9}{6}$$

Subtract 9 from 26 to get 17.

$$\frac{17}{6}$$

Factor

$$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$$