Question

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

Answer 1

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 2

`(5)/(9)`

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:

`\text{Unit rate per cup} = ((4)/(9) )/((4)/(5) ) = (4)/(9) * (5)/(4)`

Simplify:

`\text{Unit rate per cup} = (5)/(9) \text{Yogurt}`

therefore, 4/5 cup servings are in 4/9 of a cup of yogurt is,
`(5)/(9)` cup of yogurt