Creating Equivalent Unit Fraction Problems - Create an equivalent problem with a unit fraction - Answers

Sep 30, 2026

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Worksheet exercises and an answer key for converting multiplication expressions into equivalent forms using unit fractions. Students complete numbered problems that rewrite a given product as a simplified product with a unit fraction factor, following examples such as turning 7 × 36 into 21 × 1/6. The document provides multiple question items (1–19) and lists corresponding correct results, supporting guided practice and self-checking.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Creating Equivalent Unit Fraction Problems

Student Problems

Answer Key

Creating Equivalent Unit Fraction Problems Name: | Create an equivalent problem with a unit fraction.
Ex) 7 × ~~ ~~36~~ ~~ = 21 × 1⁄ 6 1) 8 × ~~ ~~38~~ ~~ = | | | | | | | | | | Answers Ex. 21 × 1⁄ 6 | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 2) | 6 × ~~ ~~35~~ ~~ = | 3) | 5 × ~~ ~~180~~ ~~ = | | | | | | | 1.
2. | | | | | | | 4) | 10 × ~~ ~~34~~ ~~ = | 5) | 8 × ~~ ~~23~~ ~~ = | | | | | | | 3.
4. | | | | | | | 6) | 9 × ~~ ~~34~~ ~~ = | 7) | 3 × ~~ ~~23~~ ~~ = | | | | | | | 5.
6. | | | | | | | 8) | 8 × ~~ ~~26~~ ~~ = | 9) | 3 × ~~ ~~68~~ ~~ = | | | | | | | 7.
8. | | | | | | | 10) | 9 × ~~ ~~160~~ ~~ = | 11) | 10 × ~~ ~~130~~ ~~ = | | | | | | | 9.
10. | | | | | | | 12) | 7 × ~~ ~~23~~ ~~ = | 13) | 3 × ~~ ~~58~~ ~~ = | | | | | | | 11.
12. | | | | | | | 14)
16)
18) | 8 × ~~ ~~45~~ ~~ = 15)
8 × ~~ ~~36~~ ~~ = 17)
5 × ~~ ~~130~~ ~~ = 19) | | 8 × ~~ ~~34~~ ~~ = 5 × ~~ ~~36~~ ~~ =
10 × ~~ ~~23~~ ~~ = | | | | | | | 13.
14.
15.
16.
17.
18.
19. | | | | | | | | Math
www.CommonCoreSheets.c | | om | 7 | 1-10
11-19 | 95 | 89 | 84 | 79 | 74 | 68 | 63 | 58 | 53 | 47 | | | | | | | | 42 | 37 | 32 | 26 | 21 | 16 | 11 | 5 | 0 | | Creating Equivalent Unit Fraction Problems Name: Answer Key | Create an equivalent problem with a unit fraction.
Ex) 7 × ~~ ~~36~~ ~~ = 21 × 1⁄ 6 1) 8 × ~~ ~~38~~ ~~ = 24 × 1⁄ 8
2) 6 × ~~ ~~35~~ ~~ = 18 × 1⁄ 5 3) 5 × ~~ ~~180~~ ~~ = 40 × 1⁄ 10
4) 3 5) 2
10 × 4 = 30 × 1⁄ 4 8 × 3 = 16 × 1⁄ 3
6) 9 × ~~ ~~34~~ ~~ = 27 × 1⁄ 4 7) 3 × ~~ ~~23~~ ~~ = 6 × 1⁄ 3
8) 8 × ~~ ~~26~~ ~~ = 16 × 1⁄ 6 9) 3 × ~~ ~~68~~ ~~ = 18 × 1⁄ 8
10) 9 × ~~ ~~160~~ ~~ = 54 × 1⁄ 10 11) 10 × ~~ ~~130~~ ~~ = 30 × 1⁄ 10
12) 2 13) 5
7 × 3 = 14 × 1⁄ 3 3 × 8 = 15 × 1⁄ 8
14) 8 × ~~ ~~45~~ ~~ = 32 × 1⁄ 5 15) 8 × ~~ ~~34~~ ~~ = 24 × 1⁄ 4
16) 8 × ~~ ~~36~~ ~~ = 24 × 1⁄ 6 17) 5 × ~~ ~~36~~ ~~ = 15 × 1⁄ 6
18) 5 × ~~ ~~130~~ ~~ = 15 × 1⁄ 10 19) 10 × ~~ ~~23~~ ~~ = 20 × 1⁄ 3 | Answers
1 Ex. 21 × ⁄ 6 1. 24 × 1⁄ 8
1
2. 18 × ⁄ 5
1
3. 40 × ⁄ 10
4. 30 × 1⁄ 4
5. 16 × 1⁄ 3 1
6. 27 × ⁄ 4
7. 6 × 1⁄ 3
8. 16 × 1⁄ 6 1
9. 18 × ⁄ 8
10. 54 × 1⁄ 10
11. 30 × 1⁄ 10 1
12. 14 × ⁄ 3
13. 15 × 1⁄ 8
14. 32 × 1⁄ 5 1
15. 24 × ⁄ 4
1
16. 24 × ⁄ 6
17. 15 × 1⁄ 6
1
18. 15 × ⁄ 10
1
19. 20 × ⁄ 3 | | --- | --- | Math [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 7 1-10 95 89 84 79 74 68 63 58 53 47 11-19 42 37 32 26 21 16 11 5 0 Creating Equivalent Unit Fraction Problems Name: | Create an equivalent problem with a unit fraction.
Ex) 7 × ~~ ~~36~~ ~~ = 21 × 1⁄ 6 1) 8 × ~~ ~~38~~ ~~ = | | | | | | | | | Answers Ex. 21 × 1⁄ 6 | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 2)
4)
6) | 3 3) 8
6 × 5 = 5 × 10 =
10 × ~~ ~~34~~ ~~ = 5) 8 × ~~ ~~23~~ ~~ =
3 7) 2
9 × 4 = 3 × 3 = | | | | | | | | 1.
2.
3.
4.
5.
6.
7.
8. | | | | | | | | 8) | 8 × ~~ ~~26~~ ~~ = | 9) 6
3 × 8 = | | | | | | | 9.
10.
11. | | | | | | | | 10) | 9 × ~~ ~~160~~ ~~ = | 11)
10 | × ~~ ~~130~~ ~~ = | | | | | | 12. | | | | | | | | | | | | | | | | | | | | | | | | | 12) | 7 × ~~ ~~23~~ ~~ = | | | | | | | | | | | | | | | | | Math | Modified
[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 1-10
11-12 | 92 | 83 | 75 | 67 | | 58 | 50 | 42 | 33 | 25 | 17 | | | | | | | 8 | 0 | | | | | | | | | |

FAQs

What does the worksheet ask students to do?

Create an equivalent multiplication problem that uses a unit fraction. Each item rewrites the original product into an equivalent form with a unit fraction factor.

Where can students find the correct solutions?

The document includes an “Answer Key” section listing the correct unit-fraction equivalent results for each numbered problem.

How is the unit fraction used in the equivalent problems?

In each solution, the worksheet expresses the product so that one factor becomes a unit fraction (a fraction with numerator 1), matching the equivalent relationship shown in the example.

Sep 30, 2026

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