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Free Grade 3 Working with Multiplying Fractions Flashcards

Free Grade 3 flashcards for Working with Multiplying Fractions: 12 real questions with a full answer key and worked solutions. To multiply fractions, multiply the numerators together and the denominators together, then simplify. Multiplying by a fraction less than 1 makes a number smaller.

Price

Free

Difficulty

Higher

Estimated time

15 min

Total marks

24

Learning objectives

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

  • UnderstandExplain working with multiplying fractions

    Explain working with multiplying fractions accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with multiplying fractions

    Calculate working with multiplying fractions accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with multiplying fractions

    Compare working with multiplying fractions accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with multiplying fractions

    Justify working with multiplying 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 Multiplying Fractions works

To multiply fractions, multiply the numerators together and the denominators together, then simplify. Multiplying by a fraction less than 1 makes a number smaller.

Key wordsproductofnumeratordenominator

12 practice questions

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

  1. 1.3/5 × 3/5 = ?[1]
  2. 2.1/4 × 3/8 = ?[1]
  3. 3.5/7 × 6/8 = ?[1]
  4. 4.6/9 × 8/9 = ?[1]
  5. 5.3/8 × 3/3 = ?[2]
  6. 6.1/9 × 3/7 = ?[2]
  7. 7.1/2 × 5/8 = ?[2]
  8. 8.1/4 × 2/2 = ?[2]
  9. 9.4/8 × 4/5 = ?[3]
  10. 10.3/4 × 2/3 = ?[3]
  11. 11.6/7 × 1/4 = ?[3]
  12. 12.1/4 × 2/9 = ?[3]
Show answers and working
  1. 1. 9/25

    Multiply numerators: 3 × 3 = 9. Multiply denominators: 5 × 5 = 25. Simplify 9/25 → 9/25

  2. 2. 3/32

    Multiply numerators: 1 × 3 = 3. Multiply denominators: 4 × 8 = 32. Simplify 3/32 → 3/32

  3. 3. 15/28

    Multiply numerators: 5 × 6 = 30. Multiply denominators: 7 × 8 = 56. Simplify 30/56 → 15/28

  4. 4. 16/27

    Multiply numerators: 6 × 8 = 48. Multiply denominators: 9 × 9 = 81. Simplify 48/81 → 16/27

  5. 5. 3/8

    Multiply numerators: 3 × 3 = 9. Multiply denominators: 8 × 3 = 24. Simplify 9/24 → 3/8

  6. 6. 1/21

    Multiply numerators: 1 × 3 = 3. Multiply denominators: 9 × 7 = 63. Simplify 3/63 → 1/21

  7. 7. 5/16

    Multiply numerators: 1 × 5 = 5. Multiply denominators: 2 × 8 = 16. Simplify 5/16 → 5/16

  8. 8. 1/4

    Multiply numerators: 1 × 2 = 2. Multiply denominators: 4 × 2 = 8. Simplify 2/8 → 1/4

  9. 9. 2/5

    Multiply numerators: 4 × 4 = 16. Multiply denominators: 8 × 5 = 40. Simplify 16/40 → 2/5

  10. 10. 1/2

    Multiply numerators: 3 × 2 = 6. Multiply denominators: 4 × 3 = 12. Simplify 6/12 → 1/2

  11. 11. 3/14

    Multiply numerators: 6 × 1 = 6. Multiply denominators: 7 × 4 = 28. Simplify 6/28 → 3/14

  12. 12. 1/18

    Multiply numerators: 1 × 2 = 2. Multiply denominators: 4 × 9 = 36. Simplify 2/36 → 1/18

Worked examples

Easy example

4/7 × 6/7 = ?

  1. Multiply numerators: 4 × 6 = 24.
  2. Multiply denominators: 7 × 7 = 49.
  3. Simplify 24/49 → 24/49
  4. Answer: 24/49
Medium example

5/8 × 2/6 = ?

  1. Multiply numerators: 5 × 2 = 10.
  2. Multiply denominators: 8 × 6 = 48.
  3. Simplify 10/48 → 5/24
  4. Answer: 5/24
Hard example

2/2 × 6/8 = ?

  1. Multiply numerators: 2 × 6 = 12.
  2. Multiply denominators: 2 × 8 = 16.
  3. Simplify 12/16 → 3/4
  4. Answer: 3/4

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Finds a common denominator first.

    Correction: No common denominator is needed — multiply straight across.

  • Expects the answer to be bigger.

    Correction: Half of something is smaller than the thing.

Teacher tips

  • · Use area models: shade one fraction across, the other down.

Parent tips

  • · Ask what half of a half is.

Real-life applications

  • · Finding half of three quarters of a garden.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

NATIONAL-CURRICULUM NAT-217.1 — Mapped statement covering Working with Multiplying Fractions.IB IB-454.2 — Mapped statement covering Working with Multiplying Fractions.

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Frequently asked

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

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