Free Grade 3 Working with Simplifying Fractions Worksheets
Free Grade 3 worksheets 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
30 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 6/8 fully.[1]
- 2.Simplify 2/14 fully.[1]
- 3.Simplify 4/16 fully.[1]
- 4.Simplify 6/21 fully.[1]
- 5.Simplify 6/15 fully.[2]
- 6.Simplify 18/36 fully.[2]
- 7.Simplify 8/16 fully.[2]
- 8.Simplify 6/24 fully.[2]
- 9.Simplify 21/35 fully.[3]
- 10.Simplify 21/56 fully.[3]
- 11.Simplify 30/36 fully.[3]
- 12.Simplify 24/28 fully.[3]
Show answers and working
1. 3/4
HCF of 6 and 8 is 2. Divide top and bottom by 2: 6÷2 / 8÷2. = 3/4
2. 1/7
HCF of 2 and 14 is 2. Divide top and bottom by 2: 2÷2 / 14÷2. = 1/7
3. 1/4
HCF of 4 and 16 is 4. Divide top and bottom by 4: 4÷4 / 16÷4. = 1/4
4. 2/7
HCF of 6 and 21 is 3. Divide top and bottom by 3: 6÷3 / 21÷3. = 2/7
5. 2/5
HCF of 6 and 15 is 3. Divide top and bottom by 3: 6÷3 / 15÷3. = 2/5
6. 1/2
HCF of 18 and 36 is 18. Divide top and bottom by 18: 18÷18 / 36÷18. = 1/2
7. 1/2
HCF of 8 and 16 is 8. Divide top and bottom by 8: 8÷8 / 16÷8. = 1/2
8. 1/4
HCF of 6 and 24 is 6. Divide top and bottom by 6: 6÷6 / 24÷6. = 1/4
9. 3/5
HCF of 21 and 35 is 7. Divide top and bottom by 7: 21÷7 / 35÷7. = 3/5
10. 3/8
HCF of 21 and 56 is 7. Divide top and bottom by 7: 21÷7 / 56÷7. = 3/8
11. 5/6
HCF of 30 and 36 is 6. Divide top and bottom by 6: 30÷6 / 36÷6. = 5/6
12. 6/7
HCF of 24 and 28 is 4. Divide top and bottom by 4: 24÷4 / 28÷4. = 6/7
Worked examples
Simplify 10/18 fully.
- HCF of 10 and 18 is 2.
- Divide top and bottom by 2: 10÷2 / 18÷2.
- = 5/9
- Answer: 5/9
Simplify 20/45 fully.
- HCF of 20 and 45 is 5.
- Divide top and bottom by 5: 20÷5 / 45÷5.
- = 4/9
- Answer: 4/9
Simplify 33/88 fully.
- HCF of 33 and 88 is 11.
- Divide top and bottom by 11: 33÷11 / 88÷11.
- = 3/8
- Answer: 3/8
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 Working with Simplifying Fractions
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Working with 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 Introducing Simplifying Fractions, 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 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.
Related resources
Stuck on Working with Simplifying Fractions? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor