Free Grade 3 Working with Mixed Numbers Worksheets
Free Grade 3 worksheets for Working with Mixed Numbers: 12 real questions with a full answer key and worked solutions. A mixed number has a whole part and a fraction. An improper fraction has a numerator bigger than its denominator. Both can describe the same amount.
Free
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with mixed numbers
Explain working with mixed numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with mixed numbers
Calculate working with mixed numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with mixed numbers
Compare working with mixed numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with mixed numbers
Justify working with mixed numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Working with Mixed Numbers works
A mixed number has a whole part and a fraction. An improper fraction has a numerator bigger than its denominator. Both can describe the same amount.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Write 1 3/7 as an improper fraction.[1]
- 2.Write 3 2/5 as an improper fraction.[1]
- 3.Write 1 4/5 as an improper fraction.[1]
- 4.Write 1 5/9 as an improper fraction.[1]
- 5.Write 26/9 as a mixed number.[2]
- 6.Write 31/8 as a mixed number.[2]
- 7.Write 15/7 as a mixed number.[2]
- 8.Write 26/4 as a mixed number.[2]
- 9.Write 4 6/8 as an improper fraction.[3]
- 10.Write 7 2/3 as an improper fraction.[3]
- 11.Write 5 4/8 as an improper fraction.[3]
- 12.Write 8 1/2 as an improper fraction.[3]
Show answers and working
1. 10/7
1 wholes = 7/7. 7 + 3 = 10. = 10/7
2. 17/5
3 wholes = 15/5. 15 + 2 = 17. = 17/5
3. 9/5
1 wholes = 5/5. 5 + 4 = 9. = 9/5
4. 14/9
1 wholes = 9/9. 9 + 5 = 14. = 14/9
5. 2 8/9
26 ÷ 9 = 2 remainder 8. 2 wholes and 8/9 left: 2 8/9.
6. 3 7/8
31 ÷ 8 = 3 remainder 7. 3 wholes and 7/8 left: 3 7/8.
7. 2 1/7
15 ÷ 7 = 2 remainder 1. 2 wholes and 1/7 left: 2 1/7.
8. 6 2/4
26 ÷ 4 = 6 remainder 2. 6 wholes and 2/4 left: 6 2/4.
9. 38/8
4 wholes = 32/8. 32 + 6 = 38. = 38/8
10. 23/3
7 wholes = 21/3. 21 + 2 = 23. = 23/3
11. 44/8
5 wholes = 40/8. 40 + 4 = 44. = 44/8
12. 17/2
8 wholes = 16/2. 16 + 1 = 17. = 17/2
Worked examples
Write 3 5/7 as an improper fraction.
- 3 wholes = 21/7.
- 21 + 5 = 26.
- = 26/7
- Answer: 26/7
Write 8/5 as a mixed number.
- 8 ÷ 5 = 1 remainder 3.
- 1 wholes and 3/5 left: 1 3/5.
- Answer: 1 3/5
Write 3 1/2 as an improper fraction.
- 3 wholes = 6/2.
- 6 + 1 = 7.
- = 7/2
- Answer: 7/2
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Multiplies the whole number by the numerator.
Correction: Multiply the whole by the denominator, then add the numerator.
Ignores the remainder when converting back.
Correction: The remainder becomes the new numerator.
Teacher tips
- · Draw the wholes as full circles before converting.
Parent tips
- · Count halves of oranges: 5 halves = 2 1/2 oranges.
Real-life applications
- · 2 1/2 pizzas, 1 3/4 hours.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Working with Mixed Numbers
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Frequently asked
- Is this Grade 3 Working with Mixed Numbers worksheet really free?
- Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Introducing Mixed Numbers, Improper Fractions. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Mixed Numbers?
- Move on to Mixed Numbers in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.
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