The tricks here is to focus on the denominator of the fraction.
First make both fractions have the same denominator.
7/11 has denominator 11
4/9 has denominator 9
Then for 7/11, multiply both the numerator and denominator by the denominator of the other fraction which is 9.
This will give:
=(7 x 9)/(11 x 9)
=63/99
Then for 4/9, multiply both the numerator and denominator by the denominator of the other fraction which is 11.
This will give:
=(4 x 11)/(9 x 11)
=44/99
Comparing the two fractions, you can see that 63/66 > 44/99. Thus 7/11 is greater.
