Solve 1/13-1/26+1/2

$$\frac{ 1 }{ 13 } - \frac{ 1 }{ 26 } + \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{7}{13}\approx 0.538461538$$

Solution Steps

Least common multiple of 13 and 26 is 26. Convert \frac{1}{13} and \frac{1}{26} to fractions with denominator 26.

$$\frac{2}{26}-\frac{1}{26}+\frac{1}{2}$$

Since \frac{2}{26} and \frac{1}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{26}+\frac{1}{2}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{26}+\frac{1}{2}$$

Least common multiple of 26 and 2 is 26. Convert \frac{1}{26} and \frac{1}{2} to fractions with denominator 26.

$$\frac{1}{26}+\frac{13}{26}$$

Since \frac{1}{26} and \frac{13}{26} have the same denominator, add them by adding their numerators.

$$\frac{1+13}{26}$$

Add 1 and 13 to get 14.

$$\frac{14}{26}$$

Reduce the fraction \frac{14}{26} to lowest terms by extracting and canceling out 2.

$$\frac{7}{13}$$

Factor

$$\frac{7}{13} = 0.5384615384615384$$