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๐ŸŽ“ Grade 6๐Ÿ“œ 6.NS.A.1๐Ÿ“„ Free PDF + Keysโ™พ๏ธ Dynamic Generator

Dividing Mixed NumbersFREEWorksheet Generator(Grade 6)

Dividing Mixed Numbers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grade 6.

๐ŸŽฏ Fraction Division Cluster:Switch to Multiplying Fractions โž”
Fraction รท WholeGrade 5Whole รท FractionGrade 5Mixed NumbersGrade 6Master Generator
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๐Ÿ“„ Sheet #1โ€ข10 Problems
PanMaths.comDividing Mixed Numbers Worksheet Generator โ€ข Worksheet #1
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.
323รท114= ย ______
Workspace:
2.
217รท213= ย ______
Workspace:
3.
234รท312= ย ______
Workspace:
4.
323รท145= ย ______
Workspace:
5.
134รท212= ย ______
Workspace:
6.
213รท312= ย ______
Workspace:
7.
312รท212= ย ______
Workspace:
8.
112รท267= ย ______
Workspace:
9.
227รท113= ย ______
Workspace:
10.
335รท127= 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.
323รท114= 2 14/15
1. Convert to Improper Fractions: 3 2/3 = 11/3, and 1 1/4 = 5/4
2. Apply Keep-Change-Flip: 11/3 รท 5/4 = 11/3 ร— 4/5
3. Multiply Numerators and Denominators: (11 ร— 4) / (3 ร— 5) = 44/15
4. Fraction in Lowest Terms: 44/15
5. Convert to Mixed Number: 2 14/15
2.
217รท213= 45/49
1. Convert to Improper Fractions: 2 1/7 = 15/7, and 2 1/3 = 7/3
2. Apply Keep-Change-Flip: 15/7 รท 7/3 = 15/7 ร— 3/7
3. Multiply Numerators and Denominators: (15 ร— 3) / (7 ร— 7) = 45/49
4. Fraction in Lowest Terms: 45/49
5. Final Quotient: 45/49
3.
234รท312= 11/14
1. Convert to Improper Fractions: 2 3/4 = 11/4, and 3 1/2 = 7/2
2. Apply Keep-Change-Flip: 11/4 รท 7/2 = 11/4 ร— 2/7
3. Multiply Numerators and Denominators: (11 ร— 2) / (4 ร— 7) = 22/28
4. Reduce by GCD (2): 11/14
5. Final Quotient: 11/14
4.
323รท145= 2 1/27
1. Convert to Improper Fractions: 3 2/3 = 11/3, and 1 4/5 = 9/5
2. Apply Keep-Change-Flip: 11/3 รท 9/5 = 11/3 ร— 5/9
3. Multiply Numerators and Denominators: (11 ร— 5) / (3 ร— 9) = 55/27
4. Fraction in Lowest Terms: 55/27
5. Convert to Mixed Number: 2 1/27
5.
134รท212= 7/10
1. Convert to Improper Fractions: 1 3/4 = 7/4, and 2 1/2 = 5/2
2. Apply Keep-Change-Flip: 7/4 รท 5/2 = 7/4 ร— 2/5
3. Multiply Numerators and Denominators: (7 ร— 2) / (4 ร— 5) = 14/20
4. Reduce by GCD (2): 7/10
5. Final Quotient: 7/10
6.
213รท312= 2/3
1. Convert to Improper Fractions: 2 1/3 = 7/3, and 3 1/2 = 7/2
2. Apply Keep-Change-Flip: 7/3 รท 7/2 = 7/3 ร— 2/7
3. Multiply Numerators and Denominators: (7 ร— 2) / (3 ร— 7) = 14/21
4. Reduce by GCD (7): 2/3
5. Final Quotient: 2/3
7.
312รท212= 1 2/5
1. Convert to Improper Fractions: 3 1/2 = 7/2, and 2 1/2 = 5/2
2. Apply Keep-Change-Flip: 7/2 รท 5/2 = 7/2 ร— 2/5
3. Multiply Numerators and Denominators: (7 ร— 2) / (2 ร— 5) = 14/10
4. Reduce by GCD (2): 7/5
5. Convert to Mixed Number: 1 2/5
8.
112รท267= 21/40
1. Convert to Improper Fractions: 1 1/2 = 3/2, and 2 6/7 = 20/7
2. Apply Keep-Change-Flip: 3/2 รท 20/7 = 3/2 ร— 7/20
3. Multiply Numerators and Denominators: (3 ร— 7) / (2 ร— 20) = 21/40
4. Fraction in Lowest Terms: 21/40
5. Final Quotient: 21/40
9.
227รท113= 1 5/7
1. Convert to Improper Fractions: 2 2/7 = 16/7, and 1 1/3 = 4/3
2. Apply Keep-Change-Flip: 16/7 รท 4/3 = 16/7 ร— 3/4
3. Multiply Numerators and Denominators: (16 ร— 3) / (7 ร— 4) = 48/28
4. Reduce by GCD (4): 12/7
5. Convert to Mixed Number: 1 5/7
10.
335รท127= 2 4/5
1. Convert to Improper Fractions: 3 3/5 = 18/5, and 1 2/7 = 9/7
2. Apply Keep-Change-Flip: 18/5 รท 9/7 = 18/5 ร— 7/9
3. Multiply Numerators and Denominators: (18 ร— 7) / (5 ร— 9) = 126/45
4. Reduce by GCD (9): 14/5
5. Convert to Mixed Number: 2 4/5
PanMaths.com โ€ข Answer Key & Worked SolutionsPage 2 of 2
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Worksheet Info

Categoryfractions
Grade LevelGrade 6
DifficultyAdvanced (Mixed Numbers with Whole Parts 1 to 4, Denominators 2 to 8)
Time15-20 min
CCSS CodeCCSS.MATH.CONTENT.6.NS.A.1

Skills Practiced

  • โœ“ Converting mixed numbers to improper fractions before dividing
  • โœ“ Applying the Keep-Change-Flip reciprocal rule to improper fractions
  • โœ“ Cross-cancelling common factors
  • โœ“ Converting improper quotients back to simplified mixed numbers
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Related Worksheets

๐Ÿ“œ Standard: CCSS.MATH.CONTENT.6.NS.A.1

Mastering Dividing Mixed Numbers: Core Concepts & Mental Models

Dividing Mixed Numbers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grade 6.

โš ๏ธ Common Mistakes & Teacher Fixes

โš ๏ธFlipping Before Converting to Improper Fractions

Why students stumble: Students try to invert the mixed number directly (e.g. flipping 2 1/3 into 2 3/1 or 1/(2 1/3)), leading to completely incorrect values.

Teacher Fix: Never flip a mixed number directly. Always convert to an improper fraction first: 2 1/3 = 7/3, THEN flip to 3/7.
Example: Incorrect: 2 1/3 รท 1 1/2 โž” 2 1/3 ร— 1 2/1. Correct: 7/3 รท 3/2 โž” 7/3 ร— 2/3 = 14/9 = 1 5/9.
โš ๏ธDividing Whole Numbers and Fractions Separately

Why students stumble: Attempting to divide whole รท whole and fraction รท fraction.

Teacher Fix: Mixed number division cannot be distributed across whole and fractional parts. Conversion to improper fractions is mandatory.
Example: For 4 1/2 รท 2 1/4, convert to 9/2 รท 9/4 = 9/2 ร— 4/9 = 36/18 = 2.

โ“ Frequently Asked Questions

What is the core learning objective for dividing mixed numbers?

Dividing Mixed Numbers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grade 6. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.6.NS.A.1.

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

A frequent pitfall is: "Flipping Before Converting to Improper Fractions". Why students stumble: Students try to invert the mixed number directly (e.g. flipping 2 1/3 into 2 3/1 or 1/(2 1/3)), leading to completely incorrect values. How to fix it: Never flip a mixed number directly. Always convert to an improper fraction first: 2 1/3 = 7/3, THEN flip to 3/7. (Example: Incorrect: 2 1/3 รท 1 1/2 โž” 2 1/3 ร— 1 2/1. Correct: 7/3 รท 3/2 โž” 7/3 ร— 2/3 = 14/9 = 1 5/9.)

How does the unlimited dividing mixed numbers worksheet generator work?

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