Solve 1/2-1/3+1/7=

$$\frac { 1 } { 2 } - \frac { 1 } { 3 } + \frac { 1 } { 7 } =$$

Evaluate

$$\frac{13}{42}\approx 0.30952381$$

Solution Steps

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

$$\frac{3}{6}-\frac{2}{6}+\frac{1}{7}$$

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

$$\frac{3-2}{6}+\frac{1}{7}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{6}+\frac{1}{7}$$

Least common multiple of 6 and 7 is 42. Convert \frac{1}{6} and \frac{1}{7} to fractions with denominator 42.

$$\frac{7}{42}+\frac{6}{42}$$

Since \frac{7}{42} and \frac{6}{42} have the same denominator, add them by adding their numerators.

$$\frac{7+6}{42}$$

Add 7 and 6 to get 13.

$$\frac{13}{42}$$

Factor

$$\frac{13}{2 \cdot 3 \cdot 7} = 0.30952380952380953$$