Question

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

Answer 1

Answer:

$\frac{5}{9}$

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:

$\text{Unit rate per cup} = \frac{\frac{4}{9} }{\frac{4}{5} } = \frac{4}{9} \times \frac{5}{4}$

Simplify:

$\text{Unit rate per cup} = \frac{5}{9} \text{Yogurt}$

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

Answer 2

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.