Free Grade 3 Introducing Simplifying Fractions Lessons
Free Grade 3 lessons for Introducing Simplifying Fractions: 12 real questions with a full answer key and worked solutions. Simplifying means writing a fraction with the smallest possible numbers. Divide the numerator and denominator by their highest common factor.
Free
Core
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing simplifying fractions
Explain introducing simplifying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing simplifying fractions
Calculate introducing simplifying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing simplifying fractions
Compare introducing simplifying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing simplifying fractions
Justify introducing simplifying 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 Introducing Simplifying Fractions works
Simplifying means writing a fraction with the smallest possible numbers. Divide the numerator and denominator by their highest common factor.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Simplify 10/14 fully.[1]
- 2.Simplify 4/6 fully.[1]
- 3.Simplify 3/12 fully.[1]
- 4.Simplify 12/18 fully.[1]
- 5.Simplify 6/10 fully.[2]
- 6.Simplify 20/40 fully.[2]
- 7.Simplify 12/14 fully.[2]
- 8.Simplify 20/30 fully.[2]
- 9.Simplify 14/28 fully.[3]
- 10.Simplify 32/64 fully.[3]
- 11.Simplify 8/16 fully.[3]
- 12.Simplify 40/50 fully.[3]
Show answers and working
1. 5/7
HCF of 10 and 14 is 2. Divide top and bottom by 2: 10÷2 / 14÷2. = 5/7
2. 2/3
HCF of 4 and 6 is 2. Divide top and bottom by 2: 4÷2 / 6÷2. = 2/3
3. 1/4
HCF of 3 and 12 is 3. Divide top and bottom by 3: 3÷3 / 12÷3. = 1/4
4. 2/3
HCF of 12 and 18 is 6. Divide top and bottom by 6: 12÷6 / 18÷6. = 2/3
5. 3/5
HCF of 6 and 10 is 2. Divide top and bottom by 2: 6÷2 / 10÷2. = 3/5
6. 1/2
HCF of 20 and 40 is 20. Divide top and bottom by 20: 20÷20 / 40÷20. = 1/2
7. 6/7
HCF of 12 and 14 is 2. Divide top and bottom by 2: 12÷2 / 14÷2. = 6/7
8. 2/3
HCF of 20 and 30 is 10. Divide top and bottom by 10: 20÷10 / 30÷10. = 2/3
9. 1/2
HCF of 14 and 28 is 14. Divide top and bottom by 14: 14÷14 / 28÷14. = 1/2
10. 1/2
HCF of 32 and 64 is 32. Divide top and bottom by 32: 32÷32 / 64÷32. = 1/2
11. 1/2
HCF of 8 and 16 is 8. Divide top and bottom by 8: 8÷8 / 16÷8. = 1/2
12. 4/5
HCF of 40 and 50 is 10. Divide top and bottom by 10: 40÷10 / 50÷10. = 4/5
Worked examples
Simplify 6/12 fully.
- HCF of 6 and 12 is 6.
- Divide top and bottom by 6: 6÷6 / 12÷6.
- = 1/2
- Answer: 1/2
Simplify 4/16 fully.
- HCF of 4 and 16 is 4.
- Divide top and bottom by 4: 4÷4 / 16÷4.
- = 1/4
- Answer: 1/4
Simplify 10/15 fully.
- HCF of 10 and 15 is 5.
- Divide top and bottom by 5: 10÷5 / 15÷5.
- = 2/3
- Answer: 2/3
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Stops after dividing once, leaving a fraction that can still be simplified.
Correction: Check again: do top and bottom still share a factor?
Divides top and bottom by different numbers.
Correction: Always divide both by the same number.
Teacher tips
- · Ask pupils to check their final answer has HCF 1.
Parent tips
- · Simplify sports stats, like 6 wins out of 8 games.
Real-life applications
- · Reporting results: 18/24 of the class becomes 3/4.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Simplifying Fractions lesson really free?
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- What should a learner already know before this?
- Start with Equivalent Fractions. 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 Introducing Simplifying Fractions?
- Move on to Working with Simplifying Fractions, Simplifying Fractions in Context, Introduction to Fractions, Parts of a Fraction, which build directly on this idea.
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