Solve 1/2-3/5+1/6=

$$\frac { 1 } { 2 } - \frac { 3 } { 5 } + \frac { 1 } { 6 } =$$

Evaluate

$$\frac{1}{15}\approx 0.066666667$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{3}{5} to fractions with denominator 10.

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

Since \frac{5}{10} and \frac{6}{10} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 6 from 5 to get -1.

$$-\frac{1}{10}+\frac{1}{6}$$

Least common multiple of 10 and 6 is 30. Convert -\frac{1}{10} and \frac{1}{6} to fractions with denominator 30.

$$-\frac{3}{30}+\frac{5}{30}$$

Since -\frac{3}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{-3+5}{30}$$

Add -3 and 5 to get 2.

$$\frac{2}{30}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$