Solve 1/13=1/26+1/2

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

Verify

Solution Steps

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

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

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

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

Add 1 and 13 to get 14.

$$\frac{1}{13}=\frac{14}{26}$$

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

$$\frac{1}{13}=\frac{7}{13}$$

Compare \frac{1}{13} and \frac{7}{13}.

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