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๐ŸŽ“ Grades 4-5๐Ÿ“œ 4.NF.B.4๐Ÿ“„ Free PDF + Keysโ™พ๏ธ Dynamic Generator

Multiplying Fractions by Whole NumbersFREEWorksheet Generator(Grades 4-5)

Multiplying Fractions by Whole Numbers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 4โ€“5.

๐ŸŽฏ Fraction Multiplication Cluster:Switch to Dividing Fractions โž”
By Whole NumbersGrade 4Fraction by FractionGrade 5Mixed NumbersGrades 5-6Master Generator
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๐Ÿ“„ Sheet #1โ€ข10 Problems
PanMaths.comMultiplying Fractions by Whole Numbers Worksheet Generator โ€ข Worksheet #1
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.
611ร—7= ย ______
Workspace:
2.
4ร—58= ย ______
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3.
67ร—2= ย ______
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4.
8ร—78= ย ______
Workspace:
5.
9ร—612= ย ______
Workspace:
6.
2ร—47= ย ______
Workspace:
7.
3ร—48= ย ______
Workspace:
8.
5ร—17= ย ______
Workspace:
9.
9ร—712= ย ______
Workspace:
10.
23ร—8= ย ______
Workspace:
PanMaths.com โ€ข Free Math Worksheet GeneratorPage 1 of 2
PanMaths.comAnswer Key & Worked Solutions โ€ข Worksheet #1
Answer Key
Total Problems: 10
1.
611ร—7= 3 9/11
1. Express Whole Number as Fraction: 7 = 7/1
2. Multiply Numerators & Denominators: (7 ร— 6) / (1 ร— 11) = 42/11
3. Form Lowest Terms: 42/11
4. Convert to Mixed Number: 3 9/11
2.
4ร—58= 2 1/2
1. Express Whole Number as Fraction: 4 = 4/1
2. Multiply Numerators & Denominators: (4 ร— 5) / (1 ร— 8) = 20/8
3. Reduce by GCD (4): 5/2
4. Convert to Mixed Number: 2 1/2
3.
67ร—2= 1 5/7
1. Express Whole Number as Fraction: 2 = 2/1
2. Multiply Numerators & Denominators: (2 ร— 6) / (1 ร— 7) = 12/7
3. Form Lowest Terms: 12/7
4. Convert to Mixed Number: 1 5/7
4.
8ร—78= 7
1. Express Whole Number as Fraction: 8 = 8/1
2. Multiply Numerators & Denominators: (8 ร— 7) / (1 ร— 8) = 56/8
3. Reduce by GCD (8): 7/1
4. Final Product: 7
5.
9ร—612= 4 1/2
1. Express Whole Number as Fraction: 9 = 9/1
2. Multiply Numerators & Denominators: (9 ร— 6) / (1 ร— 12) = 54/12
3. Reduce by GCD (6): 9/2
4. Convert to Mixed Number: 4 1/2
6.
2ร—47= 1 1/7
1. Express Whole Number as Fraction: 2 = 2/1
2. Multiply Numerators & Denominators: (2 ร— 4) / (1 ร— 7) = 8/7
3. Form Lowest Terms: 8/7
4. Convert to Mixed Number: 1 1/7
7.
3ร—48= 1 1/2
1. Express Whole Number as Fraction: 3 = 3/1
2. Multiply Numerators & Denominators: (3 ร— 4) / (1 ร— 8) = 12/8
3. Reduce by GCD (4): 3/2
4. Convert to Mixed Number: 1 1/2
8.
5ร—17= 5/7
1. Express Whole Number as Fraction: 5 = 5/1
2. Multiply Numerators & Denominators: (5 ร— 1) / (1 ร— 7) = 5/7
3. Form Lowest Terms: 5/7
4. Final Product: 5/7
9.
9ร—712= 5 1/4
1. Express Whole Number as Fraction: 9 = 9/1
2. Multiply Numerators & Denominators: (9 ร— 7) / (1 ร— 12) = 63/12
3. Reduce by GCD (3): 21/4
4. Convert to Mixed Number: 5 1/4
10.
23ร—8= 5 1/3
1. Express Whole Number as Fraction: 8 = 8/1
2. Multiply Numerators & Denominators: (8 ร— 2) / (1 ร— 3) = 16/3
3. Form Lowest Terms: 16/3
4. Convert to Mixed Number: 5 1/3
PanMaths.com โ€ข Answer Key & Worked SolutionsPage 2 of 2
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Worksheet Info

Categoryfractions
Grade LevelGrades 4-5
DifficultyFoundational (Whole Numbers 2 to 9 ร— Fractions with Denominators 2 to 12)
Time10-15 min
CCSS CodeCCSS.MATH.CONTENT.4.NF.B.4

Skills Practiced

  • โœ“ Multiplying a fraction by a whole number
  • โœ“ Expressing whole numbers as fractions over 1
  • โœ“ Connecting multiplication to repeated addition
  • โœ“ Simplifying products to mixed numbers or lowest terms
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Related Worksheets

๐Ÿ“œ Standard: CCSS.MATH.CONTENT.4.NF.B.4

Mastering Multiplying Fractions by Whole Numbers: Core Concepts & Mental Models

Multiplying Fractions by Whole Numbers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 4โ€“5.

โš ๏ธ Common Mistakes & Teacher Fixes

โš ๏ธMultiplying Both Numerator and Denominator by the Whole Number

Why students stumble: Students confuse scaling a fraction (finding equivalent fractions) with multiplying by a whole value (e.g. 3 ร— 2/5 = 6/15).

Teacher Fix: Remember the whole number only multiplies the quantity of pieces (the numerator). The denominator tells the size of the slice and stays unchanged.
Example: Incorrect: 3 ร— 2/5 = 6/15. Correct: 3 ร— (2/5) = (3 ร— 2)/5 = 6/5 = 1 1/5.
โš ๏ธLeaving Improper Products as Final Answers

Why students stumble: Students leave fractions like 14/4 without simplifying by the GCD or expressing as a mixed number.

Teacher Fix: Divide the numerator by the denominator: 14 รท 4 = 3 with a remainder of 2, giving 3 2/4 = 3 1/2.
Example: 14/4 = 7/2 = 3 1/2.

โ“ Frequently Asked Questions

What is the core learning objective for multiplying fractions by whole numbers?

Multiplying Fractions by Whole Numbers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 4โ€“5. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.4.NF.B.4.

What is the most common mistake students make with multiplying fractions by whole numbers?

A frequent pitfall is: "Multiplying Both Numerator and Denominator by the Whole Number". Why students stumble: Students confuse scaling a fraction (finding equivalent fractions) with multiplying by a whole value (e.g. 3 ร— 2/5 = 6/15). How to fix it: Remember the whole number only multiplies the quantity of pieces (the numerator). The denominator tells the size of the slice and stays unchanged. (Example: Incorrect: 3 ร— 2/5 = 6/15. Correct: 3 ร— (2/5) = (3 ร— 2)/5 = 6/5 = 1 1/5.)

How does the unlimited multiplying fractions by whole numbers worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of multiplying fractions by whole numbers problems with unique numbers. No two worksheets are ever the same โ€” perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

Are these multiplying fractions by whole numbers worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.