Lesson 7: Practice Problems

Problem 1

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, 6 people can have apples. Here are some other calculations:

$24 \div 4 = 6$

$24 \div 2 = 12$

$24 \div 1 = 24$

$24 \div \frac{1}{2} = ?$

Priya thinks the “?” represents a number less than 24. Do you agree? Explain or show your reasoning.
In the case of $24 \div \frac{1}{2} = ?$ , how many people can have apples?

Problem 2

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

Problem 3

Divide $4 \frac{1}{2}$ by the following unit fractions.

$\frac{1}{8}$
$\frac{1}{4}$
$\frac{1}{6}$

Problem 4

Kiran has $2 \frac{3}{4}$ pounds of flour. When he divides the flour into equal-sized bags, he fills $4 \frac{1}{8}$ bags. How many pounds fit in each bag?

Write a multiplication equation and a division equation to represent the question and then answer the question. Show your reasoning.

Problem 5 From Unit 3 Lesson 5

Elena and Noah are each filling a bucket with water. Noah’s bucket is $\frac{2}{5}$ full and the water weighs $2 \frac{1}{2}$ pounds. How much does Elena’s bucket weigh if her bucket is full and her bucket is identical to Noah’s?

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

Problem 6

Calculate each percentage mentally.

25% of 400
50% of 90
75% of 200
10% of 8,000
5% of 20