Solve 17/3-9/6-3/2

$$\frac{ 17 }{ 3 } - \frac{ 9 }{ 6 } - \frac{ 3 }{ 2 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

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

Least common multiple of 3 and 2 is 6. Convert \frac{17}{3} and \frac{3}{2} to fractions with denominator 6.

$$\frac{34}{6}-\frac{9}{6}-\frac{3}{2}$$

Since \frac{34}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-9}{6}-\frac{3}{2}$$

Subtract 9 from 34 to get 25.

$$\frac{25}{6}-\frac{3}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{25}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{25}{6}-\frac{9}{6}$$

Since \frac{25}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-9}{6}$$

Subtract 9 from 25 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

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$