Free Grade 3 Introducing Multiplying Fractions Lessons
Free Grade 3 lessons for Introducing 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.
Free
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing multiplying fractions
Explain introducing multiplying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing multiplying fractions
Calculate introducing multiplying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing multiplying fractions
Compare introducing multiplying fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing multiplying fractions
Justify introducing 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 Introducing 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.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.1/6 × 4/9 = ?[1]
- 2.4/4 × 5/5 = ?[1]
- 3.5/6 × 3/4 = ?[1]
- 4.1/8 × 2/2 = ?[1]
- 5.7/7 × 6/7 = ?[2]
- 6.8/8 × 3/3 = ?[2]
- 7.2/8 × 1/3 = ?[2]
- 8.2/3 × 2/7 = ?[2]
- 9.5/5 × 2/5 = ?[3]
- 10.4/7 × 1/4 = ?[3]
- 11.1/5 × 6/7 = ?[3]
- 12.3/6 × 2/6 = ?[3]
Show answers and working
1. 2/27
Multiply numerators: 1 × 4 = 4. Multiply denominators: 6 × 9 = 54. Simplify 4/54 → 2/27
2. 1
Multiply numerators: 4 × 5 = 20. Multiply denominators: 4 × 5 = 20. Simplify 20/20 → 1
3. 5/8
Multiply numerators: 5 × 3 = 15. Multiply denominators: 6 × 4 = 24. Simplify 15/24 → 5/8
4. 1/8
Multiply numerators: 1 × 2 = 2. Multiply denominators: 8 × 2 = 16. Simplify 2/16 → 1/8
5. 6/7
Multiply numerators: 7 × 6 = 42. Multiply denominators: 7 × 7 = 49. Simplify 42/49 → 6/7
6. 1
Multiply numerators: 8 × 3 = 24. Multiply denominators: 8 × 3 = 24. Simplify 24/24 → 1
7. 1/12
Multiply numerators: 2 × 1 = 2. Multiply denominators: 8 × 3 = 24. Simplify 2/24 → 1/12
8. 4/21
Multiply numerators: 2 × 2 = 4. Multiply denominators: 3 × 7 = 21. Simplify 4/21 → 4/21
9. 2/5
Multiply numerators: 5 × 2 = 10. Multiply denominators: 5 × 5 = 25. Simplify 10/25 → 2/5
10. 1/7
Multiply numerators: 4 × 1 = 4. Multiply denominators: 7 × 4 = 28. Simplify 4/28 → 1/7
11. 6/35
Multiply numerators: 1 × 6 = 6. Multiply denominators: 5 × 7 = 35. Simplify 6/35 → 6/35
12. 1/6
Multiply numerators: 3 × 2 = 6. Multiply denominators: 6 × 6 = 36. Simplify 6/36 → 1/6
Worked examples
3/4 × 3/3 = ?
- Multiply numerators: 3 × 3 = 9.
- Multiply denominators: 4 × 3 = 12.
- Simplify 9/12 → 3/4
- Answer: 3/4
1/2 × 3/7 = ?
- Multiply numerators: 1 × 3 = 3.
- Multiply denominators: 2 × 7 = 14.
- Simplify 3/14 → 3/14
- Answer: 3/14
2/8 × 2/4 = ?
- Multiply numerators: 2 × 2 = 4.
- Multiply denominators: 8 × 4 = 32.
- Simplify 4/32 → 1/8
- Answer: 1/8
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.
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Frequently asked
- Is this Grade 3 Introducing Multiplying Fractions lesson really free?
- Yes. Every lessons 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 Subtracting Fractions. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Multiplying Fractions?
- Move on to Working with Multiplying Fractions, Multiplying Fractions in Context, Introduction to Fractions, Parts of a Fraction, which build directly on this idea.
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