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Free Grade 3 Introducing Ordering Fractions Flashcards

Free Grade 3 flashcards for Introducing 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.

Price

Free

Difficulty

Higher

Estimated time

30 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • UnderstandExplain introducing ordering fractions

    Explain introducing ordering fractions accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing ordering fractions

    Calculate introducing ordering fractions accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing ordering fractions

    Compare introducing ordering fractions accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing ordering fractions

    Justify introducing 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 Introducing 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.

Key wordscomparegreater thanless thancommon denominator

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.Which is bigger, 2/4 or 5/8? Use <, > or =.[1]
  2. 2.Which is bigger, 1/5 or 6/9? Use <, > or =.[1]
  3. 3.Which is bigger, 6/9 or 5/9? Use <, > or =.[1]
  4. 4.Which is bigger, 2/6 or 4/7? Use <, > or =.[1]
  5. 5.Which is bigger, 6/8 or 5/12? Use <, > or =.[2]
  6. 6.Which is bigger, 3/4 or 7/8? Use <, > or =.[2]
  7. 7.Which is bigger, 2/6 or 2/3? Use <, > or =.[2]
  8. 8.Which is bigger, 7/8 or 4/11? Use <, > or =.[2]
  9. 9.Which is bigger, 6/8 or 7/9? Use <, > or =.[3]
  10. 10.Which is bigger, 4/6 or 3/6? Use <, > or =.[3]
  11. 11.Which is bigger, 4/5 or 5/9? Use <, > or =.[3]
  12. 12.Which is bigger, 6/7 or 4/6? Use <, > or =.[3]
Show answers and working
  1. 1. 2/4 < 5/8

    Common denominator: 8. 2/4 = 4/8 and 5/8 = 5/8. Compare numerators: 4 < 5.

  2. 2. 1/5 < 6/9

    Common denominator: 45. 1/5 = 9/45 and 6/9 = 30/45. Compare numerators: 9 < 30.

  3. 3. 6/9 > 5/9

    Common denominator: 9. 6/9 = 6/9 and 5/9 = 5/9. Compare numerators: 6 > 5.

  4. 4. 2/6 < 4/7

    Common denominator: 42. 2/6 = 14/42 and 4/7 = 24/42. Compare numerators: 14 < 24.

  5. 5. 6/8 > 5/12

    Common denominator: 24. 6/8 = 18/24 and 5/12 = 10/24. Compare numerators: 18 > 10.

  6. 6. 3/4 < 7/8

    Common denominator: 8. 3/4 = 6/8 and 7/8 = 7/8. Compare numerators: 6 < 7.

  7. 7. 2/6 < 2/3

    Common denominator: 6. 2/6 = 2/6 and 2/3 = 4/6. Compare numerators: 2 < 4.

  8. 8. 7/8 > 4/11

    Common denominator: 88. 7/8 = 77/88 and 4/11 = 32/88. Compare numerators: 77 > 32.

  9. 9. 6/8 < 7/9

    Common denominator: 72. 6/8 = 54/72 and 7/9 = 56/72. Compare numerators: 54 < 56.

  10. 10. 4/6 > 3/6

    Common denominator: 6. 4/6 = 4/6 and 3/6 = 3/6. Compare numerators: 4 > 3.

  11. 11. 4/5 > 5/9

    Common denominator: 45. 4/5 = 36/45 and 5/9 = 25/45. Compare numerators: 36 > 25.

  12. 12. 6/7 > 4/6

    Common denominator: 42. 6/7 = 36/42 and 4/6 = 28/42. Compare numerators: 36 > 28.

Worked examples

Easy example

Which is bigger, 3/8 or 6/8? Use <, > or =.

  1. Common denominator: 8.
  2. 3/8 = 3/8 and 6/8 = 6/8.
  3. Compare numerators: 3 < 6.
  4. Answer: 3/8 < 6/8
Medium example

Which is bigger, 6/8 or 1/11? Use <, > or =.

  1. Common denominator: 88.
  2. 6/8 = 66/88 and 1/11 = 8/88.
  3. Compare numerators: 66 > 8.
  4. Answer: 6/8 > 1/11
Hard example

Which is bigger, 7/8 or 1/4? Use <, > or =.

  1. Common denominator: 8.
  2. 7/8 = 7/8 and 1/4 = 2/8.
  3. Compare numerators: 7 > 2.
  4. Answer: 7/8 > 1/4

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.

NATIONAL-CURRICULUM NAT-145.1 — Mapped statement covering Introducing Ordering Fractions.IB IB-954.2 — Mapped statement covering Introducing Ordering Fractions.

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Frequently asked

Is this Grade 3 Introducing 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 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 Introducing Ordering Fractions?
Move on to Working with Ordering Fractions, Ordering Fractions in Context, Introduction to Fractions, Parts of a Fraction, which build directly on this idea.

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