ANSWER
1/2 < 8/13
EXPLANATION
We want to find the symbol that correctly compares the two fractions.
The easies way to do this is to express both fractions with a common denominator with the LCM of the two denominators as the new denominator.
The LCM of 2 and 13 is 26.
Therefore, we can write that:
[tex]\begin{gathered} \frac{1}{2}=\frac{13}{26} \\ \frac{8}{13}=\frac{16}{26} \end{gathered}[/tex]As we can now see, the two denominators are equal, but the numerator of 1/2 is less than that of 8/13.
This means that 1/2 is less than 8/13:
=> 1/2 < 8/13
