Solve 1/5+1/2-2/15-1/6

$$\frac { 1 } { 5 } + \frac { 1 } { 2 } - \frac { 2 } { 15 } - \frac { 1 } { 6 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{1}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{2}{10}+\frac{5}{10}-\frac{2}{15}-\frac{1}{6}$$

Since \frac{2}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+5}{10}-\frac{2}{15}-\frac{1}{6}$$

Add 2 and 5 to get 7.

$$\frac{7}{10}-\frac{2}{15}-\frac{1}{6}$$

Least common multiple of 10 and 15 is 30. Convert \frac{7}{10} and \frac{2}{15} to fractions with denominator 30.

$$\frac{21}{30}-\frac{4}{30}-\frac{1}{6}$$

Since \frac{21}{30} and \frac{4}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-4}{30}-\frac{1}{6}$$

Subtract 4 from 21 to get 17.

$$\frac{17}{30}-\frac{1}{6}$$

Least common multiple of 30 and 6 is 30. Convert \frac{17}{30} and \frac{1}{6} to fractions with denominator 30.

$$\frac{17}{30}-\frac{5}{30}$$

Since \frac{17}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-5}{30}$$

Subtract 5 from 17 to get 12.

$$\frac{12}{30}$$

Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$