Priya is sharing 24 apples equally with some friends. She uses division to find out how many people can have a share if each person gets a particular number of apples. For example, \(24 \div 4 = 6\) means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations:

1. Priya thinks the “?” represents a number less than 24. Do you agree? Explain or show your reasoning.

2. The value of \(24 \div \frac{1}{2}\) tells us how many people can enjoy the apples that Jada has if each person gets half an apple. What is that value?

Find the value of \(\frac{15}{4}\div \frac{5}{8}\). Show your reasoning.

Divide \(4\frac12\) by each of these unit fractions.

1. \(\frac18\)

2. \(\frac14\)

3. \(\frac16\)

Consider the problem: Kiran has \(2\frac34\) pounds of flour. When he divides the flour into equal-size bags, he fills \(4\frac18\) bags. How many pounds fit in each bag?

Write a multiplication equation and a division equation to represent the question. Then, find the answer and show your reasoning.

Elena is filling a bucket with water. When her bucket is \(\frac{2}{5}\) full, the water weighs \(2\frac{1}{2}\) pounds. How much would the water weigh if her bucket is full?

1. Write multiplication and division equations to represent the question.
2. Draw a diagram to show the relationship between the quantities and to find the answer.

Calculate each percentage mentally.

1. 25% of 400
2. 50% of 90
3. 75% of 200
4. 10% of 8,000
5. 5% of 20