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Free Grade 3 Introducing Dividing Fractions Lesson Plans

Free Grade 3 lesson plans for Introducing Dividing Fractions: 12 real questions with a full answer key and worked solutions. To divide by a fraction, multiply by its reciprocal: keep the first fraction, change ÷ to ×, flip the second fraction.

Price

Free

Difficulty

Core

Estimated time

15 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introducing dividing fractions

    Explain introducing dividing fractions accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing dividing fractions

    Calculate introducing dividing fractions accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing dividing fractions

    Compare introducing dividing fractions accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing dividing fractions

    Justify introducing dividing 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 Dividing Fractions works

To divide by a fraction, multiply by its reciprocal: keep the first fraction, change ÷ to ×, flip the second fraction.

Key wordsreciprocaldividekeep change flip

12 practice questions

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

  1. 1.1/2 ÷ 4/7 = ?[1]
  2. 2.7/8 ÷ 1/4 = ?[1]
  3. 3.2/2 ÷ 1/2 = ?[1]
  4. 4.4/8 ÷ 2/9 = ?[1]
  5. 5.1/9 ÷ 1/3 = ?[2]
  6. 6.6/7 ÷ 1/9 = ?[2]
  7. 7.3/4 ÷ 2/7 = ?[2]
  8. 8.1/3 ÷ 6/6 = ?[2]
  9. 9.3/4 ÷ 5/8 = ?[3]
  10. 10.3/4 ÷ 1/3 = ?[3]
  11. 11.1/4 ÷ 2/2 = ?[3]
  12. 12.4/4 ÷ 4/4 = ?[3]
Show answers and working
  1. 1. 7/8

    Keep the first fraction, flip the second: 7/4. 1/2 × 7/4 = 7/8. Simplify → 7/8

  2. 2. 7/2

    Keep the first fraction, flip the second: 4/1. 7/8 × 4/1 = 28/8. Simplify → 7/2

  3. 3. 2

    Keep the first fraction, flip the second: 2/1. 2/2 × 2/1 = 4/2. Simplify → 2

  4. 4. 9/4

    Keep the first fraction, flip the second: 9/2. 4/8 × 9/2 = 36/16. Simplify → 9/4

  5. 5. 1/3

    Keep the first fraction, flip the second: 3/1. 1/9 × 3/1 = 3/9. Simplify → 1/3

  6. 6. 54/7

    Keep the first fraction, flip the second: 9/1. 6/7 × 9/1 = 54/7. Simplify → 54/7

  7. 7. 21/8

    Keep the first fraction, flip the second: 7/2. 3/4 × 7/2 = 21/8. Simplify → 21/8

  8. 8. 1/3

    Keep the first fraction, flip the second: 6/6. 1/3 × 6/6 = 6/18. Simplify → 1/3

  9. 9. 6/5

    Keep the first fraction, flip the second: 8/5. 3/4 × 8/5 = 24/20. Simplify → 6/5

  10. 10. 9/4

    Keep the first fraction, flip the second: 3/1. 3/4 × 3/1 = 9/4. Simplify → 9/4

  11. 11. 1/4

    Keep the first fraction, flip the second: 2/2. 1/4 × 2/2 = 2/8. Simplify → 1/4

  12. 12. 1

    Keep the first fraction, flip the second: 4/4. 4/4 × 4/4 = 16/16. Simplify → 1

Worked examples

Easy example

3/5 ÷ 1/3 = ?

  1. Keep the first fraction, flip the second: 3/1.
  2. 3/5 × 3/1 = 9/5.
  3. Simplify → 9/5
  4. Answer: 9/5
Medium example

3/3 ÷ 4/9 = ?

  1. Keep the first fraction, flip the second: 9/4.
  2. 3/3 × 9/4 = 27/12.
  3. Simplify → 9/4
  4. Answer: 9/4
Hard example

6/6 ÷ 6/8 = ?

  1. Keep the first fraction, flip the second: 8/6.
  2. 6/6 × 8/6 = 48/36.
  3. Simplify → 4/3
  4. Answer: 4/3

Interactive practice

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

Common mistakes

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

  • Flips the first fraction instead of the second.

    Correction: Keep the first, flip the second.

  • Expects division to always make numbers smaller.

    Correction: Dividing by 1/2 doubles: how many halves fit in 3? Six.

Teacher tips

  • · Start with 'how many 1/2s in 3?' using real objects.

Parent tips

  • · Ask how many quarter-hours there are in 2 hours.

Real-life applications

  • · How many 1/4 kg bags can be filled from 3 kg?

Assessment objectives

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

FBISE FBI-604.1 — Mapped statement covering Introducing Dividing Fractions.COMMON-CORE COM-320.2 — Mapped statement covering Introducing Dividing Fractions.

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Frequently asked

Is this Grade 3 Introducing Dividing Fractions lesson plan really free?
Yes. Every lesson plans 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 Multiplying Fractions. Each one has its own free lesson, worksheet and quiz.
How is the lesson plan 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 Dividing Fractions?
Move on to Working with Dividing Fractions, Dividing Fractions in Context, Introduction to Fractions, Parts of a Fraction, which build directly on this idea.

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