IM 6.4.10 Practice: Dividing by Unit and Non-Unit Fractions
Priya is sharing 24 apples equally with some friends. She uses division to determine how many people can have a share if each person gets a particular number of apples. For example, means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations: Priya thinks the “?” represents a number less than 24. Do you agree? Explain or show your reasoning.
In the case of , how many people can have apples?
Here is a centimeter ruler.
Use the ruler to find and .
What calculation did you do each time?
Use this pattern to find .
Explain how you could find and .
Find each quotient.
Use the fact that to find . Explain or show your reasoning.
Consider the problem: It takes one week for a crew of workers to pave kilometer of a road. At that rate, how long will it take to pave 1 kilometer? Write a multiplication equation and a division equation to represent the question. Then find the answer and show your reasoning.
A box contains pounds of pancake mix. Jada used pound for a recipe. What fraction of the pancake mix in the box did she use? Explain your reasoning. Draw a diagram, if needed.
Calculate each percentage mentally.
25% of 400
50% of 90
75% of 200
10% of 8,000
5% of 20