When dividing fraction, you are actually multiplying by the reciprocal. So the reciprocal of 9/5 is 5/9
Now, instead of dividing, multiply 4/9 by 9/5. To multiply fractions, just multiply the tops together then multiply the bottoms together.
4 x 9 = 36
9 x 5 = 45
4/9 divided by 9/5 = 36/45 or 4/5