Solve 9/2-5/3

$$\frac{ 9 }{ 2 } - \frac{ 5 }{ 3 }$$

Evaluate

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

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{9}{2} and \frac{5}{3} to fractions with denominator 6.

$$\frac{27}{6}-\frac{10}{6}$$

Since \frac{27}{6} and \frac{10}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-10}{6}$$

Subtract 10 from 27 to get 17.

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

Factor

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