Solve 3/9-2/5+1/6=

$$\frac { 3 } { 9 } - \frac { 2 } { 5 } + \frac { 1 } { 6 } =$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

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

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

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{2}{5} to fractions with denominator 15.

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

Since \frac{5}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 6 from 5 to get -1.

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

Least common multiple of 15 and 6 is 30. Convert -\frac{1}{15} and \frac{1}{6} to fractions with denominator 30.

$$-\frac{2}{30}+\frac{5}{30}$$

Since -\frac{2}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{-2+5}{30}$$

Add -2 and 5 to get 3.

$$\frac{3}{30}$$

Reduce the fraction \frac{3}{30} to lowest terms by extracting and canceling out 3.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$