Lesson 7

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, $24 \div 4 = 6$ 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. In the case of $24 \div \frac12 = {?}$, how many people can have apples?

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-sized 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 and Noah are each filling a bucket with water. Noah’s bucket is $\frac25$ full and the water weighs $2\frac12$ pounds. How much does Elena’s water weigh if her bucket is full and her bucket is identical to Noah’s?

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.