Free Grade 3 Simplifying Fractions Lessons
Free Grade 3 lessons for 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify simplifying fractions
Identify simplifying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain simplifying fractions
Explain simplifying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate simplifying fractions
Calculate simplifying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare simplifying fractions
Compare 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 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 3/12 fully.[1]
- 2.Simplify 6/10 fully.[1]
- 3.Simplify 18/24 fully.[1]
- 4.Simplify 2/8 fully.[1]
- 5.Simplify 9/21 fully.[2]
- 6.Simplify 12/18 fully.[2]
- 7.Simplify 16/20 fully.[2]
- 8.Simplify 6/15 fully.[2]
- 9.Simplify 3/15 fully.[3]
- 10.Simplify 20/25 fully.[3]
- 11.Simplify 72/84 fully.[3]
- 12.Simplify 24/72 fully.[3]
Show answers and working
1. 1/4
HCF of 3 and 12 is 3. Divide top and bottom by 3: 3÷3 / 12÷3. = 1/4
2. 3/5
HCF of 6 and 10 is 2. Divide top and bottom by 2: 6÷2 / 10÷2. = 3/5
3. 3/4
HCF of 18 and 24 is 6. Divide top and bottom by 6: 18÷6 / 24÷6. = 3/4
4. 1/4
HCF of 2 and 8 is 2. Divide top and bottom by 2: 2÷2 / 8÷2. = 1/4
5. 3/7
HCF of 9 and 21 is 3. Divide top and bottom by 3: 9÷3 / 21÷3. = 3/7
6. 2/3
HCF of 12 and 18 is 6. Divide top and bottom by 6: 12÷6 / 18÷6. = 2/3
7. 4/5
HCF of 16 and 20 is 4. Divide top and bottom by 4: 16÷4 / 20÷4. = 4/5
8. 2/5
HCF of 6 and 15 is 3. Divide top and bottom by 3: 6÷3 / 15÷3. = 2/5
9. 1/5
HCF of 3 and 15 is 3. Divide top and bottom by 3: 3÷3 / 15÷3. = 1/5
10. 4/5
HCF of 20 and 25 is 5. Divide top and bottom by 5: 20÷5 / 25÷5. = 4/5
11. 6/7
HCF of 72 and 84 is 12. Divide top and bottom by 12: 72÷12 / 84÷12. = 6/7
12. 1/3
HCF of 24 and 72 is 24. Divide top and bottom by 24: 24÷24 / 72÷24. = 1/3
Worked examples
Simplify 4/6 fully.
- HCF of 4 and 6 is 2.
- Divide top and bottom by 2: 4÷2 / 6÷2.
- = 2/3
- Answer: 2/3
Simplify 6/24 fully.
- HCF of 6 and 24 is 6.
- Divide top and bottom by 6: 6÷6 / 24÷6.
- = 1/4
- Answer: 1/4
Simplify 48/72 fully.
- HCF of 48 and 72 is 24.
- Divide top and bottom by 24: 48÷24 / 72÷24.
- = 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.
Every free resource for Simplifying Fractions
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Frequently asked
- Is this Grade 3 Simplifying 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 Equivalent Fractions, Mixed Numbers, 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 Simplifying Fractions?
- Move on to Comparing Fractions, Ordering Fractions, Fractions on a Number Line, Fraction Models, which build directly on this idea.
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