Solve 1/2+1/3-1/10

$$\frac { 1 } { 2 } + \frac { 1 } { 3 } - \frac { 1 } { 10 }$$

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

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

$$\frac{3}{6}+\frac{2}{6}-\frac{1}{10}$$

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

$$\frac{3+2}{6}-\frac{1}{10}$$

Add 3 and 2 to get 5.

$$\frac{5}{6}-\frac{1}{10}$$

Least common multiple of 6 and 10 is 30. Convert \frac{5}{6} and \frac{1}{10} to fractions with denominator 30.

$$\frac{25}{30}-\frac{3}{30}$$

Since \frac{25}{30} and \frac{3}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-3}{30}$$

Subtract 3 from 25 to get 22.

$$\frac{22}{30}$$

Reduce the fraction \frac{22}{30} to lowest terms by extracting and canceling out 2.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$