Free Grade 3 Working with Simplifying Fractions Lessons
Free Grade 3 lessons for Working with 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
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with simplifying fractions
Explain working with simplifying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with simplifying fractions
Calculate working with simplifying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with simplifying fractions
Compare working with simplifying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with simplifying fractions
Justify working with 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 Working with 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 6/21 fully.[1]
- 2.Simplify 6/24 fully.[1]
- 3.Simplify 15/27 fully.[1]
- 4.Simplify 6/16 fully.[1]
- 5.Simplify 6/18 fully.[2]
- 6.Simplify 3/24 fully.[2]
- 7.Simplify 30/45 fully.[2]
- 8.Simplify 30/40 fully.[2]
- 9.Simplify 10/30 fully.[3]
- 10.Simplify 15/25 fully.[3]
- 11.Simplify 30/42 fully.[3]
- 12.Simplify 10/70 fully.[3]
Show answers and working
1. 2/7
HCF of 6 and 21 is 3. Divide top and bottom by 3: 6÷3 / 21÷3. = 2/7
2. 1/4
HCF of 6 and 24 is 6. Divide top and bottom by 6: 6÷6 / 24÷6. = 1/4
3. 5/9
HCF of 15 and 27 is 3. Divide top and bottom by 3: 15÷3 / 27÷3. = 5/9
4. 3/8
HCF of 6 and 16 is 2. Divide top and bottom by 2: 6÷2 / 16÷2. = 3/8
5. 1/3
HCF of 6 and 18 is 6. Divide top and bottom by 6: 6÷6 / 18÷6. = 1/3
6. 1/8
HCF of 3 and 24 is 3. Divide top and bottom by 3: 3÷3 / 24÷3. = 1/8
7. 2/3
HCF of 30 and 45 is 15. Divide top and bottom by 15: 30÷15 / 45÷15. = 2/3
8. 3/4
HCF of 30 and 40 is 10. Divide top and bottom by 10: 30÷10 / 40÷10. = 3/4
9. 1/3
HCF of 10 and 30 is 10. Divide top and bottom by 10: 10÷10 / 30÷10. = 1/3
10. 3/5
HCF of 15 and 25 is 5. Divide top and bottom by 5: 15÷5 / 25÷5. = 3/5
11. 5/7
HCF of 30 and 42 is 6. Divide top and bottom by 6: 30÷6 / 42÷6. = 5/7
12. 1/7
HCF of 10 and 70 is 10. Divide top and bottom by 10: 10÷10 / 70÷10. = 1/7
Worked examples
Simplify 2/6 fully.
- HCF of 2 and 6 is 2.
- Divide top and bottom by 2: 2÷2 / 6÷2.
- = 1/3
- Answer: 1/3
Simplify 12/21 fully.
- HCF of 12 and 21 is 3.
- Divide top and bottom by 3: 12÷3 / 21÷3.
- = 4/7
- Answer: 4/7
Simplify 8/14 fully.
- HCF of 8 and 14 is 2.
- Divide top and bottom by 2: 8÷2 / 14÷2.
- = 4/7
- Answer: 4/7
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
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 Working with 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 Introducing Simplifying Fractions, 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 Working with Simplifying Fractions?
- Move on to Simplifying Fractions in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.
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