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๐ŸŽ“ Grades 5-6๐Ÿ“œ 5.NF.B.6๐Ÿ“„ Free PDF + Keysโ™พ๏ธ Dynamic Generator

Multiplying Mixed NumbersFREEWorksheet Generator(Grades 5-6)

Multiplying Mixed Numbers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 5โ€“6.

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๐Ÿ“„ Sheet #1โ€ข10 Problems
PanMaths.comMultiplying Mixed Numbers Worksheet Generator โ€ข Worksheet #1
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.
313ร—313= ย ______
Workspace:
2.
247ร—223= ย ______
Workspace:
3.
312ร—235= ย ______
Workspace:
4.
147ร—117= ย ______
Workspace:
5.
246ร—237= ย ______
Workspace:
6.
217ร—134= ย ______
Workspace:
7.
324ร—126= ย ______
Workspace:
8.
157ร—212= ย ______
Workspace:
9.
146ร—334= ย ______
Workspace:
10.
234ร—357= 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.
313ร—313= 11 1/9
1. Convert Mixed Numbers to Improper Fractions: 3 1/3 = (3ร—3+1)/3 = 10/3, and 3 1/3 = (3ร—3+1)/3 = 10/3
2. Multiply Improper Numerators: 10 ร— 10 = 100
3. Multiply Denominators: 3 ร— 3 = 9 โž” 100/9
4. Fraction in Lowest Terms: 100/9
5. Convert to Mixed Number: 100 รท 9 = 11 1/9
2.
247ร—223= 6 6/7
1. Convert Mixed Numbers to Improper Fractions: 2 4/7 = (2ร—7+4)/7 = 18/7, and 2 2/3 = (2ร—3+2)/3 = 8/3
2. Multiply Improper Numerators: 18 ร— 8 = 144
3. Multiply Denominators: 7 ร— 3 = 21 โž” 144/21
4. Reduce by GCD (3): 48/7
5. Convert to Mixed Number: 48 รท 7 = 6 6/7
3.
312ร—235= 9 1/10
1. Convert Mixed Numbers to Improper Fractions: 3 1/2 = (3ร—2+1)/2 = 7/2, and 2 3/5 = (2ร—5+3)/5 = 13/5
2. Multiply Improper Numerators: 7 ร— 13 = 91
3. Multiply Denominators: 2 ร— 5 = 10 โž” 91/10
4. Fraction in Lowest Terms: 91/10
5. Convert to Mixed Number: 91 รท 10 = 9 1/10
4.
147ร—117= 1 39/49
1. Convert Mixed Numbers to Improper Fractions: 1 4/7 = (1ร—7+4)/7 = 11/7, and 1 1/7 = (1ร—7+1)/7 = 8/7
2. Multiply Improper Numerators: 11 ร— 8 = 88
3. Multiply Denominators: 7 ร— 7 = 49 โž” 88/49
4. Fraction in Lowest Terms: 88/49
5. Convert to Mixed Number: 88 รท 49 = 1 39/49
5.
246ร—237= 6 10/21
1. Convert Mixed Numbers to Improper Fractions: 2 4/6 = (2ร—6+4)/6 = 16/6, and 2 3/7 = (2ร—7+3)/7 = 17/7
2. Multiply Improper Numerators: 16 ร— 17 = 272
3. Multiply Denominators: 6 ร— 7 = 42 โž” 272/42
4. Reduce by GCD (2): 136/21
5. Convert to Mixed Number: 136 รท 21 = 6 10/21
6.
217ร—134= 3 3/4
1. Convert Mixed Numbers to Improper Fractions: 2 1/7 = (2ร—7+1)/7 = 15/7, and 1 3/4 = (1ร—4+3)/4 = 7/4
2. Multiply Improper Numerators: 15 ร— 7 = 105
3. Multiply Denominators: 7 ร— 4 = 28 โž” 105/28
4. Reduce by GCD (7): 15/4
5. Convert to Mixed Number: 15 รท 4 = 3 3/4
7.
324ร—126= 4 2/3
1. Convert Mixed Numbers to Improper Fractions: 3 2/4 = (3ร—4+2)/4 = 14/4, and 1 2/6 = (1ร—6+2)/6 = 8/6
2. Multiply Improper Numerators: 14 ร— 8 = 112
3. Multiply Denominators: 4 ร— 6 = 24 โž” 112/24
4. Reduce by GCD (8): 14/3
5. Convert to Mixed Number: 14 รท 3 = 4 2/3
8.
157ร—212= 4 2/7
1. Convert Mixed Numbers to Improper Fractions: 1 5/7 = (1ร—7+5)/7 = 12/7, and 2 1/2 = (2ร—2+1)/2 = 5/2
2. Multiply Improper Numerators: 12 ร— 5 = 60
3. Multiply Denominators: 7 ร— 2 = 14 โž” 60/14
4. Reduce by GCD (2): 30/7
5. Convert to Mixed Number: 30 รท 7 = 4 2/7
9.
146ร—334= 6 1/4
1. Convert Mixed Numbers to Improper Fractions: 1 4/6 = (1ร—6+4)/6 = 10/6, and 3 3/4 = (3ร—4+3)/4 = 15/4
2. Multiply Improper Numerators: 10 ร— 15 = 150
3. Multiply Denominators: 6 ร— 4 = 24 โž” 150/24
4. Reduce by GCD (6): 25/4
5. Convert to Mixed Number: 25 รท 4 = 6 1/4
10.
234ร—357= 10 3/14
1. Convert Mixed Numbers to Improper Fractions: 2 3/4 = (2ร—4+3)/4 = 11/4, and 3 5/7 = (3ร—7+5)/7 = 26/7
2. Multiply Improper Numerators: 11 ร— 26 = 286
3. Multiply Denominators: 4 ร— 7 = 28 โž” 286/28
4. Reduce by GCD (2): 143/14
5. Convert to Mixed Number: 143 รท 14 = 10 3/14
PanMaths.com โ€ข Answer Key & Worked SolutionsPage 2 of 2
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Worksheet Info

Categoryfractions
Grade LevelGrades 5-6
DifficultyAdvanced (Mixed Numbers with Whole Parts 1 to 4, Denominators 2 to 8)
Time15-20 min
CCSS CodeCCSS.MATH.CONTENT.5.NF.B.6

Skills Practiced

  • โœ“ Converting mixed numbers to improper fractions
  • โœ“ Multiplying improper fractions straight across
  • โœ“ Cross-cancelling common factors
  • โœ“ Converting improper products back to simplified mixed numbers
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Related Worksheets

๐Ÿ“œ Standard: CCSS.MATH.CONTENT.5.NF.B.6

Mastering Multiplying Mixed Numbers: Core Concepts & Mental Models

Multiplying Mixed Numbers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 5โ€“6.

โš ๏ธ Common Mistakes & Teacher Fixes

โš ๏ธMultiplying Whole Parts and Fractions Separately (e.g. 2 1/2 ร— 3 1/4 โ‰  6 1/8)

Why students stumble: Students mistakenly distribute whole ร— whole and fraction ร— fraction, ignoring cross terms like (2 ร— 1/4) and (3 ร— 1/2).

Teacher Fix: Always convert to improper fractions first: 2 1/2 = 5/2, 3 1/4 = 13/4. Then (5 ร— 13)/(2 ร— 4) = 65/8 = 8 1/8.
Example: Incorrect: 2 1/2 ร— 3 1/4 = 6 1/8. Correct: 5/2 ร— 13/4 = 65/8 = 8 1/8.
โš ๏ธArithmetic Errors in Improper Conversion

Why students stumble: Adding the denominator instead of the numerator when converting (e.g. thinking 2 1/3 is 2 ร— 3 + 3).

Teacher Fix: Use the clockwise circle check: multiply bottom by whole, then add top: (2 ร— 3) + 1 = 7 โ†’ 7/3.
Example: 2 1/3 = (2 ร— 3 + 1)/3 = 7/3.

โ“ Frequently Asked Questions

What is the core learning objective for multiplying mixed numbers?

Multiplying Mixed Numbers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 5โ€“6. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.5.NF.B.6.

What is the most common mistake students make with multiplying mixed numbers?

A frequent pitfall is: "Multiplying Whole Parts and Fractions Separately (e.g. 2 1/2 ร— 3 1/4 โ‰  6 1/8)". Why students stumble: Students mistakenly distribute whole ร— whole and fraction ร— fraction, ignoring cross terms like (2 ร— 1/4) and (3 ร— 1/2). How to fix it: Always convert to improper fractions first: 2 1/2 = 5/2, 3 1/4 = 13/4. Then (5 ร— 13)/(2 ร— 4) = 65/8 = 8 1/8. (Example: Incorrect: 2 1/2 ร— 3 1/4 = 6 1/8. Correct: 5/2 ร— 13/4 = 65/8 = 8 1/8.)

How does the unlimited multiplying mixed numbers worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of multiplying mixed 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 mixed 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.