Solve 17/3-8/6-3/2

$$\frac{ 17 }{ 3 } - \frac{ 8 }{ 6 } - \frac{ 3 }{ 2 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{17}{3}-\frac{4}{3}-\frac{3}{2}$$

Since \frac{17}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-4}{3}-\frac{3}{2}$$

Subtract 4 from 17 to get 13.

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

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

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