Answer:
9/11
Explanation:
You can use the strategy Keep/Switch/Flip when dividing fractions.
In the equation 4/11 ÷ 4/9, you KEEP 4/11 intact, SWITCH the division sign to multiply, then FLIP the fraction 4/9 to 9/4, creating the equation:
4/11 · 9/4 .
When solved, you get the fraction 36/44.
Divide both the numerator and the denominator by the Greatest Common Factor, which in this case is 4, and you get:
9/11.
I hope this helps! :)