Free Grade 3 Improper Fractions Lessons
Free Grade 3 lessons for Improper Fractions: 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain improper fractions
Explain improper fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate improper fractions
Calculate improper fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare improper fractions
Compare improper fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify improper fractions
Justify improper fractions 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 Improper Fractions 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 2 3/7 as an improper fraction.[1]
- 2.Write 1 1/7 as an improper fraction.[1]
- 3.Write 3 2/4 as an improper fraction.[1]
- 4.Write 2 3/4 as an improper fraction.[1]
- 5.Write 10/3 as a mixed number.[2]
- 6.Write 5/2 as a mixed number.[2]
- 7.Write 34/8 as a mixed number.[2]
- 8.Write 11/7 as a mixed number.[2]
- 9.Write 3 3/4 as an improper fraction.[3]
- 10.Write 1 1/2 as an improper fraction.[3]
- 11.Write 7 1/8 as an improper fraction.[3]
- 12.Write 3 4/5 as an improper fraction.[3]
Show answers and working
1. 17/7
2 wholes = 14/7. 14 + 3 = 17. = 17/7
2. 8/7
1 wholes = 7/7. 7 + 1 = 8. = 8/7
3. 14/4
3 wholes = 12/4. 12 + 2 = 14. = 14/4
4. 11/4
2 wholes = 8/4. 8 + 3 = 11. = 11/4
5. 3 1/3
10 ÷ 3 = 3 remainder 1. 3 wholes and 1/3 left: 3 1/3.
6. 2 1/2
5 ÷ 2 = 2 remainder 1. 2 wholes and 1/2 left: 2 1/2.
7. 4 2/8
34 ÷ 8 = 4 remainder 2. 4 wholes and 2/8 left: 4 2/8.
8. 1 4/7
11 ÷ 7 = 1 remainder 4. 1 wholes and 4/7 left: 1 4/7.
9. 15/4
3 wholes = 12/4. 12 + 3 = 15. = 15/4
10. 3/2
1 wholes = 2/2. 2 + 1 = 3. = 3/2
11. 57/8
7 wholes = 56/8. 56 + 1 = 57. = 57/8
12. 19/5
3 wholes = 15/5. 15 + 4 = 19. = 19/5
Worked examples
Write 1 2/6 as an improper fraction.
- 1 wholes = 6/6.
- 6 + 2 = 8.
- = 8/6
- Answer: 8/6
Write 23/6 as a mixed number.
- 23 ÷ 6 = 3 remainder 5.
- 3 wholes and 5/6 left: 3 5/6.
- Answer: 3 5/6
Write 8 2/7 as an improper fraction.
- 8 wholes = 56/7.
- 56 + 2 = 58.
- = 58/7
- Answer: 58/7
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 Improper Fractions
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Frequently asked
- Is this Grade 3 Improper Fractions lesson really free?
- Yes. Every lessons 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 Proper Fractions, Unit Fractions, Integers. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Improper Fractions?
- Move on to Mixed Numbers, Equivalent Fractions, Simplifying Fractions, Comparing Fractions, which build directly on this idea.
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