Free Grade 3 Introducing Simplifying Fractions Lesson Plans
Free Grade 3 lesson plans 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 2/6 fully.[1]
- 2.Simplify 6/12 fully.[1]
- 3.Simplify 6/18 fully.[1]
- 4.Simplify 3/27 fully.[1]
- 5.Simplify 9/21 fully.[2]
- 6.Simplify 30/36 fully.[2]
- 7.Simplify 8/24 fully.[2]
- 8.Simplify 4/14 fully.[2]
- 9.Simplify 15/45 fully.[3]
- 10.Simplify 12/21 fully.[3]
- 11.Simplify 15/30 fully.[3]
- 12.Simplify 6/8 fully.[3]
Show answers and working
1. 1/3
HCF of 2 and 6 is 2. Divide top and bottom by 2: 2÷2 / 6÷2. = 1/3
2. 1/2
HCF of 6 and 12 is 6. Divide top and bottom by 6: 6÷6 / 12÷6. = 1/2
3. 1/3
HCF of 6 and 18 is 6. Divide top and bottom by 6: 6÷6 / 18÷6. = 1/3
4. 1/9
HCF of 3 and 27 is 3. Divide top and bottom by 3: 3÷3 / 27÷3. = 1/9
5. 3/7
HCF of 9 and 21 is 3. Divide top and bottom by 3: 9÷3 / 21÷3. = 3/7
6. 5/6
HCF of 30 and 36 is 6. Divide top and bottom by 6: 30÷6 / 36÷6. = 5/6
7. 1/3
HCF of 8 and 24 is 8. Divide top and bottom by 8: 8÷8 / 24÷8. = 1/3
8. 2/7
HCF of 4 and 14 is 2. Divide top and bottom by 2: 4÷2 / 14÷2. = 2/7
9. 1/3
HCF of 15 and 45 is 15. Divide top and bottom by 15: 15÷15 / 45÷15. = 1/3
10. 4/7
HCF of 12 and 21 is 3. Divide top and bottom by 3: 12÷3 / 21÷3. = 4/7
11. 1/2
HCF of 15 and 30 is 15. Divide top and bottom by 15: 15÷15 / 30÷15. = 1/2
12. 3/4
HCF of 6 and 8 is 2. Divide top and bottom by 2: 6÷2 / 8÷2. = 3/4
Worked examples
Simplify 6/10 fully.
- HCF of 6 and 10 is 2.
- Divide top and bottom by 2: 6÷2 / 10÷2.
- = 3/5
- Answer: 3/5
Simplify 24/30 fully.
- HCF of 24 and 30 is 6.
- Divide top and bottom by 6: 24÷6 / 30÷6.
- = 4/5
- Answer: 4/5
Simplify 42/63 fully.
- HCF of 42 and 63 is 21.
- Divide top and bottom by 21: 42÷21 / 63÷21.
- = 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 plan really free?
- Yes. Every lesson plans 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 lesson plan 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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