How many 4/5 cup servings are in 4/9 of a cup of yogurt

For this question, you need to understand how to divide fractions.First we line up our fractions appropriately:
4/9 ÷ 4/5 = ?         (You want to divide 4/9 by 4/5)
4/9 × 5/4 = ?         (Now we use the reciprocal of 4/5 and multiply instead of divide)
4 x 5 = 20 and 9 x 4 = 36.       (Cross multiply.)
20/36 = 5/9.           (Simplify to lowest terms.)
So, 4/9 divided by 4/5 is 5/9!But 5/9 is more than 4/9, so the answer is 0 :PCorrect me if I'm wrong.