Solve 1/9-1/15-1/5

$$\frac { 1 } { 9 } - \frac { 1 } { 15 } - \frac { 1 } { 5 }$$

Evaluate

$$-\frac{7}{45}\approx -0.155555556$$

Solution Steps

Least common multiple of 9 and 15 is 45. Convert \frac{1}{9} and \frac{1}{15} to fractions with denominator 45.

$$\frac{5}{45}-\frac{3}{45}-\frac{1}{5}$$

Since \frac{5}{45} and \frac{3}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{45}-\frac{1}{5}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{45}-\frac{1}{5}$$

Least common multiple of 45 and 5 is 45. Convert \frac{2}{45} and \frac{1}{5} to fractions with denominator 45.

$$\frac{2}{45}-\frac{9}{45}$$

Since \frac{2}{45} and \frac{9}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-9}{45}$$

Subtract 9 from 2 to get -7.

$$-\frac{7}{45}$$

Factor

$$-\frac{7}{45} = -0.15555555555555556$$