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

$$1 / 2 + 1 / 3 + 1 / 5 - 1 =$$

Evaluate

$$\frac{1}{30}\approx 0.033333333$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

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

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

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

$$\frac{25}{30}+\frac{6}{30}-1$$

Since \frac{25}{30} and \frac{6}{30} have the same denominator, add them by adding their numerators.

$$\frac{25+6}{30}-1$$

Add 25 and 6 to get 31.

$$\frac{31}{30}-1$$

Convert 1 to fraction \frac{30}{30}.

$$\frac{31}{30}-\frac{30}{30}$$

Since \frac{31}{30} and \frac{30}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-30}{30}$$

Subtract 30 from 31 to get 1.

$$\frac{1}{30}$$

Factor

$$\frac{1}{2 \cdot 3 \cdot 5} = 0.03333333333333333$$