First rewrite 17/20 and 13/15 so that they have a

In order to rewrite the fractions, we must first find the LCM between 20 and 15:
Multiples of 20: 20, 40, 60, 80...
Multiples of 15: 15, 30, 45, 60...
So, the LCM is 60. The denominator will be 60. Now we find equivalent fractions for the ones given:
[tex]\begin{gathered} \frac{17}{20}=\frac{51}{60} \\ \\ \frac{13}{15}=\frac{52}{60} \end{gathered}[/tex]Now, ordering we will consider the greater numerator as the greater fraction:
[tex]\frac{52}{60}>\frac{51}{60}[/tex]Also:
[tex]\frac{17}{20}<\frac{13}{15}[/tex]