Free Grade 3 Introducing Simplifying Fractions Worksheets
Free Grade 3 worksheets 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
30 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 12/21 fully.[1]
- 2.Simplify 4/6 fully.[1]
- 3.Simplify 8/10 fully.[1]
- 4.Simplify 3/18 fully.[1]
- 5.Simplify 6/9 fully.[2]
- 6.Simplify 12/18 fully.[2]
- 7.Simplify 9/15 fully.[2]
- 8.Simplify 18/30 fully.[2]
- 9.Simplify 24/48 fully.[3]
- 10.Simplify 48/56 fully.[3]
- 11.Simplify 48/84 fully.[3]
- 12.Simplify 9/27 fully.[3]
Show answers and working
1. 4/7
HCF of 12 and 21 is 3. Divide top and bottom by 3: 12÷3 / 21÷3. = 4/7
2. 2/3
HCF of 4 and 6 is 2. Divide top and bottom by 2: 4÷2 / 6÷2. = 2/3
3. 4/5
HCF of 8 and 10 is 2. Divide top and bottom by 2: 8÷2 / 10÷2. = 4/5
4. 1/6
HCF of 3 and 18 is 3. Divide top and bottom by 3: 3÷3 / 18÷3. = 1/6
5. 2/3
HCF of 6 and 9 is 3. Divide top and bottom by 3: 6÷3 / 9÷3. = 2/3
6. 2/3
HCF of 12 and 18 is 6. Divide top and bottom by 6: 12÷6 / 18÷6. = 2/3
7. 3/5
HCF of 9 and 15 is 3. Divide top and bottom by 3: 9÷3 / 15÷3. = 3/5
8. 3/5
HCF of 18 and 30 is 6. Divide top and bottom by 6: 18÷6 / 30÷6. = 3/5
9. 1/2
HCF of 24 and 48 is 24. Divide top and bottom by 24: 24÷24 / 48÷24. = 1/2
10. 6/7
HCF of 48 and 56 is 8. Divide top and bottom by 8: 48÷8 / 56÷8. = 6/7
11. 4/7
HCF of 48 and 84 is 12. Divide top and bottom by 12: 48÷12 / 84÷12. = 4/7
12. 1/3
HCF of 9 and 27 is 9. Divide top and bottom by 9: 9÷9 / 27÷9. = 1/3
Worked examples
Simplify 9/12 fully.
- HCF of 9 and 12 is 3.
- Divide top and bottom by 3: 9÷3 / 12÷3.
- = 3/4
- Answer: 3/4
Simplify 6/15 fully.
- HCF of 6 and 15 is 3.
- Divide top and bottom by 3: 6÷3 / 15÷3.
- = 2/5
- Answer: 2/5
Simplify 12/24 fully.
- HCF of 12 and 24 is 12.
- Divide top and bottom by 12: 12÷12 / 24÷12.
- = 1/2
- Answer: 1/2
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
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 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 Equivalent 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 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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