Free Grade 3 Working with Simplifying Fractions Flashcards
Free Grade 3 flashcards 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
Foundation
15 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 14/16 fully.[1]
- 2.Simplify 6/24 fully.[1]
- 3.Simplify 12/21 fully.[1]
- 4.Simplify 9/27 fully.[1]
- 5.Simplify 6/12 fully.[2]
- 6.Simplify 36/48 fully.[2]
- 7.Simplify 15/30 fully.[2]
- 8.Simplify 25/40 fully.[2]
- 9.Simplify 18/72 fully.[3]
- 10.Simplify 11/33 fully.[3]
- 11.Simplify 16/36 fully.[3]
- 12.Simplify 3/12 fully.[3]
Show answers and working
1. 7/8
HCF of 14 and 16 is 2. Divide top and bottom by 2: 14÷2 / 16÷2. = 7/8
2. 1/4
HCF of 6 and 24 is 6. Divide top and bottom by 6: 6÷6 / 24÷6. = 1/4
3. 4/7
HCF of 12 and 21 is 3. Divide top and bottom by 3: 12÷3 / 21÷3. = 4/7
4. 1/3
HCF of 9 and 27 is 9. Divide top and bottom by 9: 9÷9 / 27÷9. = 1/3
5. 1/2
HCF of 6 and 12 is 6. Divide top and bottom by 6: 6÷6 / 12÷6. = 1/2
6. 3/4
HCF of 36 and 48 is 12. Divide top and bottom by 12: 36÷12 / 48÷12. = 3/4
7. 1/2
HCF of 15 and 30 is 15. Divide top and bottom by 15: 15÷15 / 30÷15. = 1/2
8. 5/8
HCF of 25 and 40 is 5. Divide top and bottom by 5: 25÷5 / 40÷5. = 5/8
9. 1/4
HCF of 18 and 72 is 18. Divide top and bottom by 18: 18÷18 / 72÷18. = 1/4
10. 1/3
HCF of 11 and 33 is 11. Divide top and bottom by 11: 11÷11 / 33÷11. = 1/3
11. 4/9
HCF of 16 and 36 is 4. Divide top and bottom by 4: 16÷4 / 36÷4. = 4/9
12. 1/4
HCF of 3 and 12 is 3. Divide top and bottom by 3: 3÷3 / 12÷3. = 1/4
Worked examples
Simplify 4/8 fully.
- HCF of 4 and 8 is 4.
- Divide top and bottom by 4: 4÷4 / 8÷4.
- = 1/2
- Answer: 1/2
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
Simplify 12/42 fully.
- HCF of 12 and 42 is 6.
- Divide top and bottom by 6: 12÷6 / 42÷6.
- = 2/7
- Answer: 2/7
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 flashcards really free?
- Yes. Every flashcards 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 flashcards 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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