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

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

Evaluate

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

Solution Steps

Least common multiple of 5 and 6 is 30. Convert \frac{3}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{18}{30}+\frac{5}{30}-\frac{2}{3}$$

Since \frac{18}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{18+5}{30}-\frac{2}{3}$$

Add 18 and 5 to get 23.

$$\frac{23}{30}-\frac{2}{3}$$

Least common multiple of 30 and 3 is 30. Convert \frac{23}{30} and \frac{2}{3} to fractions with denominator 30.

$$\frac{23}{30}-\frac{20}{30}$$

Since \frac{23}{30} and \frac{20}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-20}{30}$$

Subtract 20 from 23 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

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