Free Grade 3 Working with Ordering Fractions Flashcards
Free Grade 3 flashcards for Working with Ordering 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
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with ordering fractions
Explain working with ordering fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with ordering fractions
Calculate working with ordering fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with ordering fractions
Compare working with ordering fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with ordering fractions
Justify working with ordering 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 Ordering 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, 4/9 or 7/9? Use <, > or =.[1]
- 2.Which is bigger, 6/9 or 1/4? Use <, > or =.[1]
- 3.Which is bigger, 6/8 or 5/7? Use <, > or =.[1]
- 4.Which is bigger, 1/4 or 5/8? Use <, > or =.[1]
- 5.Which is bigger, 4/6 or 5/9? Use <, > or =.[2]
- 6.Which is bigger, 6/9 or 2/6? Use <, > or =.[2]
- 7.Which is bigger, 6/7 or 4/11? Use <, > or =.[2]
- 8.Which is bigger, 3/5 or 1/3? Use <, > or =.[2]
- 9.Which is bigger, 1/2 or 3/10? Use <, > or =.[3]
- 10.Which is bigger, 2/7 or 1/2? Use <, > or =.[3]
- 11.Which is bigger, 3/6 or 1/3? Use <, > or =.[3]
- 12.Which is bigger, 1/8 or 3/6? Use <, > or =.[3]
Show answers and working
1. 4/9 < 7/9
Common denominator: 9. 4/9 = 4/9 and 7/9 = 7/9. Compare numerators: 4 < 7.
2. 6/9 > 1/4
Common denominator: 36. 6/9 = 24/36 and 1/4 = 9/36. Compare numerators: 24 > 9.
3. 6/8 > 5/7
Common denominator: 56. 6/8 = 42/56 and 5/7 = 40/56. Compare numerators: 42 > 40.
4. 1/4 < 5/8
Common denominator: 8. 1/4 = 2/8 and 5/8 = 5/8. Compare numerators: 2 < 5.
5. 4/6 > 5/9
Common denominator: 18. 4/6 = 12/18 and 5/9 = 10/18. Compare numerators: 12 > 10.
6. 6/9 > 2/6
Common denominator: 18. 6/9 = 12/18 and 2/6 = 6/18. Compare numerators: 12 > 6.
7. 6/7 > 4/11
Common denominator: 77. 6/7 = 66/77 and 4/11 = 28/77. Compare numerators: 66 > 28.
8. 3/5 > 1/3
Common denominator: 15. 3/5 = 9/15 and 1/3 = 5/15. Compare numerators: 9 > 5.
9. 1/2 > 3/10
Common denominator: 10. 1/2 = 5/10 and 3/10 = 3/10. Compare numerators: 5 > 3.
10. 2/7 < 1/2
Common denominator: 14. 2/7 = 4/14 and 1/2 = 7/14. Compare numerators: 4 < 7.
11. 3/6 > 1/3
Common denominator: 6. 3/6 = 3/6 and 1/3 = 2/6. Compare numerators: 3 > 2.
12. 1/8 < 3/6
Common denominator: 24. 1/8 = 3/24 and 3/6 = 12/24. Compare numerators: 3 < 12.
Worked examples
Which is bigger, 1/7 or 3/5? Use <, > or =.
- Common denominator: 35.
- 1/7 = 5/35 and 3/5 = 21/35.
- Compare numerators: 5 < 21.
- Answer: 1/7 < 3/5
Which is bigger, 2/9 or 6/8? Use <, > or =.
- Common denominator: 72.
- 2/9 = 16/72 and 6/8 = 54/72.
- Compare numerators: 16 < 54.
- Answer: 2/9 < 6/8
Which is bigger, 5/9 or 7/14? Use <, > or =.
- Common denominator: 126.
- 5/9 = 70/126 and 7/14 = 63/126.
- Compare numerators: 70 > 63.
- Answer: 5/9 > 7/14
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 Ordering 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 Ordering Fractions, Comparing 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 Ordering Fractions?
- Move on to Ordering Fractions in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.
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