Free Grade 3 Working with Fractions on a Number Line Worksheets
Free Grade 3 worksheets for Working with Fractions on a Number Line: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with fractions on a number line
Explain working with fractions on a number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with fractions on a number line
Calculate working with fractions on a number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with fractions on a number line
Compare working with fractions on a number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with fractions on a number line
Justify working with fractions on a number line 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 Fractions on a Number Line 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, 2/3 or 7/9? Use <, > or =.[1]
- 2.Which is bigger, 2/3 or 3/8? Use <, > or =.[1]
- 3.Which is bigger, 6/7 or 3/8? Use <, > or =.[1]
- 4.Which is bigger, 3/4 or 6/9? Use <, > or =.[1]
- 5.Which is bigger, 4/8 or 6/11? Use <, > or =.[2]
- 6.Which is bigger, 5/7 or 2/9? Use <, > or =.[2]
- 7.Which is bigger, 4/8 or 7/12? Use <, > or =.[2]
- 8.Which is bigger, 2/4 or 1/12? Use <, > or =.[2]
- 9.Which is bigger, 6/9 or 5/9? Use <, > or =.[3]
- 10.Which is bigger, 3/7 or 4/8? Use <, > or =.[3]
- 11.Which is bigger, 1/6 or 3/7? Use <, > or =.[3]
- 12.Which is bigger, 1/4 or 5/10? Use <, > or =.[3]
Show answers and working
1. 2/3 < 7/9
Common denominator: 9. 2/3 = 6/9 and 7/9 = 7/9. Compare numerators: 6 < 7.
2. 2/3 > 3/8
Common denominator: 24. 2/3 = 16/24 and 3/8 = 9/24. Compare numerators: 16 > 9.
3. 6/7 > 3/8
Common denominator: 56. 6/7 = 48/56 and 3/8 = 21/56. Compare numerators: 48 > 21.
4. 3/4 > 6/9
Common denominator: 36. 3/4 = 27/36 and 6/9 = 24/36. Compare numerators: 27 > 24.
5. 4/8 < 6/11
Common denominator: 88. 4/8 = 44/88 and 6/11 = 48/88. Compare numerators: 44 < 48.
6. 5/7 > 2/9
Common denominator: 63. 5/7 = 45/63 and 2/9 = 14/63. Compare numerators: 45 > 14.
7. 4/8 < 7/12
Common denominator: 24. 4/8 = 12/24 and 7/12 = 14/24. Compare numerators: 12 < 14.
8. 2/4 > 1/12
Common denominator: 12. 2/4 = 6/12 and 1/12 = 1/12. Compare numerators: 6 > 1.
9. 6/9 > 5/9
Common denominator: 9. 6/9 = 6/9 and 5/9 = 5/9. Compare numerators: 6 > 5.
10. 3/7 < 4/8
Common denominator: 56. 3/7 = 24/56 and 4/8 = 28/56. Compare numerators: 24 < 28.
11. 1/6 < 3/7
Common denominator: 42. 1/6 = 7/42 and 3/7 = 18/42. Compare numerators: 7 < 18.
12. 1/4 < 5/10
Common denominator: 20. 1/4 = 5/20 and 5/10 = 10/20. Compare numerators: 5 < 10.
Worked examples
Which is bigger, 1/9 or 6/9? Use <, > or =.
- Common denominator: 9.
- 1/9 = 1/9 and 6/9 = 6/9.
- Compare numerators: 1 < 6.
- Answer: 1/9 < 6/9
Which is bigger, 1/9 or 5/8? Use <, > or =.
- Common denominator: 72.
- 1/9 = 8/72 and 5/8 = 45/72.
- Compare numerators: 8 < 45.
- Answer: 1/9 < 5/8
Which is bigger, 1/4 or 1/12? Use <, > or =.
- Common denominator: 12.
- 1/4 = 3/12 and 1/12 = 1/12.
- Compare numerators: 3 > 1.
- Answer: 1/4 > 1/12
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 Fractions on a Number Line 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 Fractions on a Number Line, Ordering 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 Fractions on a Number Line?
- Move on to Fractions on a Number Line in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.
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