Solve 9/5-3/2-2/15

$$\frac { 9 } { 5 } - \frac { 3 } { 2 } - \frac { 2 } { 15 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{9}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{18}{10}-\frac{15}{10}-\frac{2}{15}$$

Since \frac{18}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-15}{10}-\frac{2}{15}$$

Subtract 15 from 18 to get 3.

$$\frac{3}{10}-\frac{2}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{3}{10} and \frac{2}{15} to fractions with denominator 30.

$$\frac{9}{30}-\frac{4}{30}$$

Since \frac{9}{30} and \frac{4}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{30}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{30}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$