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MysteriousSenpai
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.

Answer:

[tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Unit rate is defined as the rate are expressed as a quantity as 1 such as 3 meter per second or 4 miles per hour.

As per the statement:

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

then by definition of unit rate:

[tex]\text{Unit rate per cup} = \frac{\frac{4}{9} }{\frac{4}{5} } = \frac{4}{9} \times \frac{5}{4}[/tex]

Simplify:

[tex]\text{Unit rate per cup} = \frac{5}{9} \text{Yogurt}[/tex]

therefore, 4/5 cup servings are in 4/9 of a cup of yogurt is, [tex]\frac{5}{9}[/tex] cup of yogurt

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