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

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

Evaluate

$$\frac{11}{30}\approx 0.366666667$$

Solution Steps

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

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

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

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

Add 18 and 5 to get 23.

$$\frac{23}{30}-\frac{2}{5}$$

Least common multiple of 30 and 5 is 30. Convert \frac{23}{30} and \frac{2}{5} to fractions with denominator 30.

$$\frac{23}{30}-\frac{12}{30}$$

Since \frac{23}{30} and \frac{12}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-12}{30}$$

Subtract 12 from 23 to get 11.

$$\frac{11}{30}$$

Factor

$$\frac{11}{2 \cdot 3 \cdot 5} = 0.36666666666666664$$