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LESSON
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Date
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Practice A
5-1 Multiplying Fractions
Multiply. Write each answer in simplest form.
1 1
1. !2! • !7!
1 1
2. !4! • !4!
1 1
3. !5! • !3!
2 1
4. !3! • !3!
2 2
5. !3! • !7!
1 1
6. !4! • !5!
1 2
7. !3! • !5!
1 2
8. !4! • !3!
1 1
9. !3! • !3!
1
Evaluate the expression x • !2! for each value of x. Write each
answer in simplest form.
1
1
10. x ! !2!
1
11. x ! !3!
1
12. x ! !4!
2
13. x ! !5!
3
14. x ! !3!
15. x ! !4!
1
1
16. In Mr. Sanders’s class, !3! of the students are girls. About !4! of
the girls want to join the chorus. What fraction of all the students
in Mr. Sanders’s class want to join the chorus?
3
17. A recipe for trail mix calls for !4! pound of peanuts. Luiza only
wants to make half of the recipe’s servings. How many pounds
of peanuts should she use?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
8
Holt Middle School Math Course 1
CHAPTER
5
Exploration Recording Sheet
5-1 Multiplying Fractions
Are You Ready? Recording Sheet
LESSON
Fraction Operations
Choose the best term from the list to complete each sentence.
denominator
numerator
factors
improper fraction
proper fraction
You can use paper folding to find the product of two fractions.
like fractions
simplest form
3
1
To find !4! of !2!, fold the paper in half vertically.
multiples
Then fold it horizontally into four sections.
unlike fractions
multiples
of 6 are 6, 12, 18, 24, and 30.
factors
of 6 are 1, 2, 3, and 6.
1
2
1. The first five
The
like fractions
2. Fractions with the same denominator are called
3. A fraction is in simplest
denominator is 1.
13
4. The fraction !9! is a(n)
form
improper fraction , because the
denominator
is greater than the
6
!
5. !
10
1
!!
10
10
!
9. !
100
1
!!
3
5
6. !1!
5
14
7. !8!
1
!!
12
12
!
10. !
144
1
13. 1!8!
3
1!4!
8
!
8. !
12
3
!!
11
33
!
11. !
121
1
17. 3!5!
11
!!
4
17
!!
3
3
14. 2!4!
2
18. 5!3!
15
!
12. !
17
4
15. 2!5!
4
19. 4!7!
14
!!
5
32
!!
7
7
16. 1!9!
11
20. 3!1!
2
Add or subtract. Write each answer in simplest form.
3
!!
4
5
1
21. !8! ! !8!
Use paper folding to find each product. Sketch a picture for
each product.
2
!!
3
1 1
3. !3! • !4!
16
!!
9
47
!!
12
88
26. 7 # 8
56
27. 4 # 12
29. 10 # 13
130
30. 9 # 7
63
31. 6 # 8
3
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
48
28. 12 # 7
84
32. 11 # 12
132
Possible answer: Yes, you can find the product of two fractions and then
find the product of that and the third fraction.
Holt Middle School Math Course 1
1 2
7. !3! • !5!
Multiply. Write each answer in simplest form.
1 1
2. !4! • !4!
1 1
3. !5! • !3!
1 2
1. !2! • !5!
2 2
5. !3! • !7!
1 1
6. !4! • !5!
1 10
!
4. !4! • !
11
3 2
5. !5! • !3!
1 2
8. !4! • !3!
1 1
9. !3! • !3!
3 4
7. !8! • !5!
2 3
8. !7! • !4!
1
!!
15
1
!!
6
1
!!
9
1
1
!!
4
1
!!
10
1 2
9. !6! • !3!
3
!!
14
2
!!
3
1
!!
9
Evaluate the expression x • !5! for each value of x. Write each
answer in simplest form.
3
1
5
2
12. x $ !4!
10. x $ !7!
11. x $ !6!
12. x $ !3!
2
14. x $ !3!
3
15. x $ !4!
10
!
13. x $ !
11
5
14. x $ !8!
4
15. x $ !5!
3
!!
35
1
!!
8
1
!!
3
1
16. A cookie recipe calls for !3! cup of brown sugar. Sarah is
1
making !4! of the recipe. How much brown sugar will
she need?
1
!! cup
6
1
!! of the students
12
7
3
5
17. Nancy spent !8! hour working out at the gym. She spent !7! of
that time lifting weights. What fraction of an hour did she spend
lifting weights?
17. A recipe for trail mix calls for !4! pound of peanuts. Luiza only
wants to make half of the recipe’s servings. How many pounds
of peanuts should she use?
5
!! hour
8
3
!! pound
8
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
4
!!
25
1
!!
8
2
1
8
2
!!
15
1
!!
6
2
!!
11
3
!!
8
16. In Mr. Sanders’s class, !3! of the students are girls. About !4! of
the girls want to join the chorus. What fraction of all the students
in Mr. Sanders’s class want to join the chorus?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
3
!!
10
8 3
6. !9! • !4!
2
!!
5
4
!!
9
11. x $ !3!
1
!!
6
1
13. x $ !5!
2 4
3. !3! • !6!
7
!!
24
1
1
1
1 7
2. !3! • !8!
1
!!
5
5
!!
22
1
!!
20
Evaluate the expression x • !2! for each value of x. Write each
answer in simplest form.
10. x $ !2!
Holt Middle School Math Course 1
Practice B
5-1 Multiplying Fractions
4
!!
21
2
!!
15
7
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
LESSON
1
!!
16
2
!!
9
1
" !2!
Possible answer: Multiply the numerators and denominators.
Multiply. Write each answer in simplest form.
2 1
4. !3! • !3!
3
4
1
6. Discuss whether it is possible to find the product of three
fractions using paper folding.
Practice A
5-1 Multiplying Fractions
1
!!
14
2
3
2 3
4. !3! • !4!
5. Explain how to multiply two fractions.
LESSON
1 1
1. !2! • !7!
1
3
1
" !3!
Think and Discuss
1
!!
3
48
2
3
1
" !4!
" !1!
2
Multiply.
25. 8 # 11
1
4
1
2
1 2
2. !2! • !3!
1
2
15
!!
17
1
5
2
24. !9! " !9!
1
2
1 1
1. !2! • !2!
1!7!
3
5
22. !7! ! !7!
3
!!
5
9
3
! " !!
23. !
10
10
3 of 1
3
$
4
2
8
numerator
Write each mixed number as an improper fraction.
9
!!
8
16
!!
5
3
4
.
Write each fraction in simplest form.
3
!!
5
.
when the GCF of the numerator and the
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
110
9
Holt Middle School Math Course 1
Holt Middle School Math Course 1