Solve 2/5+1/6-3/15

$$\frac { 2 } { 5 } + \frac { 1 } { 6 } - \frac { 3 } { 15 }$$

Evaluate

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

Solution Steps

Least common multiple of 5 and 6 is 30. Convert \frac{2}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{12}{30}+\frac{5}{30}-\frac{3}{15}$$

Since \frac{12}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{30}-\frac{3}{15}$$

Add 12 and 5 to get 17.

$$\frac{17}{30}-\frac{3}{15}$$

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$\frac{17}{30}-\frac{1}{5}$$

Least common multiple of 30 and 5 is 30. Convert \frac{17}{30} and \frac{1}{5} to fractions with denominator 30.

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

Since \frac{17}{30} and \frac{6}{30} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 6 from 17 to get 11.

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

Factor

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