Free Grade 3 Working with Dividing Fractions Flashcards
Free Grade 3 flashcards for Working with 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.
Free
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with dividing fractions
Explain working with dividing fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with dividing fractions
Calculate working with dividing fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with dividing fractions
Compare working with dividing fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with dividing fractions
Justify working with 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 Working with Dividing Fractions works
To divide by a fraction, multiply by its reciprocal: keep the first fraction, change ÷ to ×, flip the second fraction.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.3/8 ÷ 3/5 = ?[1]
- 2.1/6 ÷ 2/2 = ?[1]
- 3.8/9 ÷ 2/2 = ?[1]
- 4.1/2 ÷ 5/7 = ?[1]
- 5.3/9 ÷ 1/2 = ?[2]
- 6.5/5 ÷ 5/8 = ?[2]
- 7.2/8 ÷ 3/3 = ?[2]
- 8.4/4 ÷ 1/6 = ?[2]
- 9.3/3 ÷ 2/7 = ?[3]
- 10.5/9 ÷ 6/6 = ?[3]
- 11.4/4 ÷ 4/8 = ?[3]
- 12.5/8 ÷ 3/4 = ?[3]
Show answers and working
1. 5/8
Keep the first fraction, flip the second: 5/3. 3/8 × 5/3 = 15/24. Simplify → 5/8
2. 1/6
Keep the first fraction, flip the second: 2/2. 1/6 × 2/2 = 2/12. Simplify → 1/6
3. 8/9
Keep the first fraction, flip the second: 2/2. 8/9 × 2/2 = 16/18. Simplify → 8/9
4. 7/10
Keep the first fraction, flip the second: 7/5. 1/2 × 7/5 = 7/10. Simplify → 7/10
5. 2/3
Keep the first fraction, flip the second: 2/1. 3/9 × 2/1 = 6/9. Simplify → 2/3
6. 8/5
Keep the first fraction, flip the second: 8/5. 5/5 × 8/5 = 40/25. Simplify → 8/5
7. 1/4
Keep the first fraction, flip the second: 3/3. 2/8 × 3/3 = 6/24. Simplify → 1/4
8. 6
Keep the first fraction, flip the second: 6/1. 4/4 × 6/1 = 24/4. Simplify → 6
9. 7/2
Keep the first fraction, flip the second: 7/2. 3/3 × 7/2 = 21/6. Simplify → 7/2
10. 5/9
Keep the first fraction, flip the second: 6/6. 5/9 × 6/6 = 30/54. Simplify → 5/9
11. 2
Keep the first fraction, flip the second: 8/4. 4/4 × 8/4 = 32/16. Simplify → 2
12. 5/6
Keep the first fraction, flip the second: 4/3. 5/8 × 4/3 = 20/24. Simplify → 5/6
Worked examples
5/9 ÷ 7/8 = ?
- Keep the first fraction, flip the second: 8/7.
- 5/9 × 8/7 = 40/63.
- Simplify → 40/63
- Answer: 40/63
1/5 ÷ 2/8 = ?
- Keep the first fraction, flip the second: 8/2.
- 1/5 × 8/2 = 8/10.
- Simplify → 4/5
- Answer: 4/5
3/7 ÷ 1/4 = ?
- Keep the first fraction, flip the second: 4/1.
- 3/7 × 4/1 = 12/7.
- Simplify → 12/7
- Answer: 12/7
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.
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Frequently asked
- Is this Grade 3 Working with Dividing 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 Dividing Fractions, Multiplying 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 Dividing Fractions?
- Move on to Dividing Fractions in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.
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