Free Grade 3 Working with Comparing Fractions Lessons
Free Grade 3 lessons for Working with Comparing Fractions: 12 real questions with a full answer key and worked solutions. To compare fractions, give them a common denominator, then compare the numerators. With the same numerator, the smaller denominator is the bigger fraction.
Free
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with comparing fractions
Explain working with comparing fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with comparing fractions
Calculate working with comparing fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with comparing fractions
Compare working with comparing fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with comparing fractions
Justify working with comparing 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 Comparing Fractions works
To compare fractions, give them a common denominator, then compare the numerators. With the same numerator, the smaller denominator is the bigger fraction.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Which is bigger, 6/9 or 3/4? Use <, > or =.[1]
- 2.Which is bigger, 4/9 or 1/7? Use <, > or =.[1]
- 3.Which is bigger, 6/8 or 7/9? Use <, > or =.[1]
- 4.Which is bigger, 1/7 or 7/9? Use <, > or =.[1]
- 5.Which is bigger, 2/8 or 7/11? Use <, > or =.[2]
- 6.Which is bigger, 7/9 or 1/2? Use <, > or =.[2]
- 7.Which is bigger, 7/8 or 6/8? Use <, > or =.[2]
- 8.Which is bigger, 6/9 or 1/12? Use <, > or =.[2]
- 9.Which is bigger, 6/7 or 1/3? Use <, > or =.[3]
- 10.Which is bigger, 3/9 or 7/10? Use <, > or =.[3]
- 11.Which is bigger, 6/8 or 6/10? Use <, > or =.[3]
- 12.Which is bigger, 5/8 or 2/5? Use <, > or =.[3]
Show answers and working
1. 6/9 < 3/4
Common denominator: 36. 6/9 = 24/36 and 3/4 = 27/36. Compare numerators: 24 < 27.
2. 4/9 > 1/7
Common denominator: 63. 4/9 = 28/63 and 1/7 = 9/63. Compare numerators: 28 > 9.
3. 6/8 < 7/9
Common denominator: 72. 6/8 = 54/72 and 7/9 = 56/72. Compare numerators: 54 < 56.
4. 1/7 < 7/9
Common denominator: 63. 1/7 = 9/63 and 7/9 = 49/63. Compare numerators: 9 < 49.
5. 2/8 < 7/11
Common denominator: 88. 2/8 = 22/88 and 7/11 = 56/88. Compare numerators: 22 < 56.
6. 7/9 > 1/2
Common denominator: 18. 7/9 = 14/18 and 1/2 = 9/18. Compare numerators: 14 > 9.
7. 7/8 > 6/8
Common denominator: 8. 7/8 = 7/8 and 6/8 = 6/8. Compare numerators: 7 > 6.
8. 6/9 > 1/12
Common denominator: 36. 6/9 = 24/36 and 1/12 = 3/36. Compare numerators: 24 > 3.
9. 6/7 > 1/3
Common denominator: 21. 6/7 = 18/21 and 1/3 = 7/21. Compare numerators: 18 > 7.
10. 3/9 < 7/10
Common denominator: 90. 3/9 = 30/90 and 7/10 = 63/90. Compare numerators: 30 < 63.
11. 6/8 > 6/10
Common denominator: 40. 6/8 = 30/40 and 6/10 = 24/40. Compare numerators: 30 > 24.
12. 5/8 > 2/5
Common denominator: 40. 5/8 = 25/40 and 2/5 = 16/40. Compare numerators: 25 > 16.
Worked examples
Which is bigger, 3/6 or 2/6? Use <, > or =.
- Common denominator: 6.
- 3/6 = 3/6 and 2/6 = 2/6.
- Compare numerators: 3 > 2.
- Answer: 3/6 > 2/6
Which is bigger, 4/6 or 3/5? Use <, > or =.
- Common denominator: 30.
- 4/6 = 20/30 and 3/5 = 18/30.
- Compare numerators: 20 > 18.
- Answer: 4/6 > 3/5
Which is bigger, 1/6 or 7/11? Use <, > or =.
- Common denominator: 66.
- 1/6 = 11/66 and 7/11 = 42/66.
- Compare numerators: 11 < 42.
- Answer: 1/6 < 7/11
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Thinks 1/8 is bigger than 1/4 because 8 is bigger.
Correction: More pieces means smaller pieces.
Compares numerators without matching denominators.
Correction: Make the denominators the same first.
Teacher tips
- · Place fractions on a number line from 0 to 1.
Parent tips
- · Ask: would you rather have 1/3 or 1/4 of a cake?
Real-life applications
- · Deciding which deal or share is bigger.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Working with Comparing 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 Comparing Fractions, Simplifying 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 Comparing Fractions?
- Move on to Comparing Fractions in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.
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