Final answer:
To model the division of 2 1/2 by 3/4, you can create a word problem like this: There are 2 1/2 dozen cookies. Each box can hold 3/4 dozen cookies. How many boxes are needed to pack all the cookies? The answer is 3 1/3 boxes.
Step-by-step explanation:
To model the division of 2 1/2 by 3/4, we can create a word problem like this:
There are 2 1/2 dozen cookies. Each box can hold 3/4 dozen cookies. How many boxes are needed to pack all the cookies?
To solve this problem, we divide 2 1/2 by 3/4:
2 1/2 ÷ 3/4 = (5/2) ÷ (3/4) = (5/2) × (4/3) = 20/6 = 10/3 = 3 1/3 boxes.