Visual
Learning
Glossary How Is Dividing by a Fraction Visual Learning Bridge
Related to Multiplication?
A
If a bottle of liquid plant food contains 3 cups,
how many plants will you be able to feed?
Explain why your answer makes sense.
You need to 1
find how many eighths Use _8 cup
are in 3 cups.
1 CUP
per plant.
1
3 ÷ __
= ? 1
_
2
8 _1
8
B
1 s are in 3?
How many __ C Does the answer make sense?
8
Do 24 eighths equal 3?
The inverse
Use multiplication to check. relationship
between
1 = ___
24 × __ 24 = 3
8 8 multiplication and
Yes, 24 eighths equals 3, division applies
Use a model and multiplication so the answer makes sense. to fraction
to solve. computation,
Since there are 8 eighths in each too!
The division equation
whole, there are 3 × 8 = 24 1
3 ÷ __
8 = 24is true because
eighths in 3 wholes.
the multiplication equation
1
1 = 24.
So, 3 ÷ __ 24 × __
8
= 3is true.
8
The plant food can feed 24 plants.
Convince Me! Use Structure Use the same numbers in
the multiplication equation 15 × _ 13 = 5to write a division
equation. Draw a diagram to show that your division equation
makes sense.
394 Topic 9 Lesson 9-3 © by Savvas Learning Company LLC. 5
Name
Practice Tools Assessment
Do You Understand? Do You Know How?
1. Explain how to use multiplication to 1 .
3. Find 3 ÷ ___
10
find 4 ÷ _ 15 .
1 .
4. Draw a model to find 2 ÷ ___
6
5. Use a multiplication equation to
2. Show how to use multiplication to
check your answer to Exercise 4.
check your answer to Exercise 1.
In 6–9, use the model to find each quotient. Use multiplication
to check your answer.
14
6. 3 ÷ __ 1
7. 2 ÷ __
12
1
8. 4 ÷ __ 1
9. 3 ÷ __
9 6
In 10–12, draw a model to find each quotient. Use multiplication
to check your answer.
1
10. 5 ÷ __ 1
11. 4 ÷ __ 1
12. 3 ÷ __
6 8 3
Topic 9 Lesson 9-3 395
13. Model with Math Write and solve a division
equation to find the number of _ 13 -pound
hamburger patties that can be made from
4 pounds of ground beef.
14. Write and solve a word problem for the 15. Use the numbers in the multiplication
expression 8 ÷ _ 12 . equation 28 × _ 17 = 4to write a division
equation involving division by a fraction.
16. Number Sense Sally and Timothy have 17. Higher Order Thinking A restaurant
two different answers for 1,785 ÷ 35. charges $3.50 for a slice of pie that is one
Without dividing, how can you tell whose sixth of a pie and $3.00 for a slice that is
answer is wrong? one eighth of a pie. One day they baked
Sally: 1,785 ÷ 35 = 51 5 pies, all the same size. If they sell all the
Timothy: 1,785 ÷ 35 = 501 slices, would they make more money by
slicing each pie into sixths or eighths? How
much more? Explain.
Assessment Practice
18. Javier drew a model to determine how Part A
many fifths are in 6 wholes. Describe Javier’s work by writing a division
equation that includes a fraction.
Part B
Check your answer by using the numbers
in your division equation to write a
multiplication equation.
396 Topic 9 Lesson 9-3 © by Savvas Learning Company LLC. 5
