Free Grade 3 Working with Fraction of a Quantity Lesson Plans
Free Grade 3 lesson plans for Working with Fraction of a Quantity: 12 real questions with a full answer key and worked solutions. To find a fraction of an amount, divide by the denominator to find one part, then multiply by the numerator.
Free
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with fraction of a quantity
Explain working with fraction of a quantity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with fraction of a quantity
Calculate working with fraction of a quantity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with fraction of a quantity
Compare working with fraction of a quantity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with fraction of a quantity
Justify working with fraction of a quantity 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 Fraction of a Quantity works
To find a fraction of an amount, divide by the denominator to find one part, then multiply by the numerator.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find 1/2 of 18.[1]
- 2.Find 1/3 of 36.[1]
- 3.Find 1/4 of 8.[1]
- 4.Find 1/3 of 30.[1]
- 5.Find 5/6 of 18.[2]
- 6.Find 2/3 of 36.[2]
- 7.Find 6/8 of 88.[2]
- 8.Find 3/6 of 66.[2]
- 9.Find 1/8 of 72.[3]
- 10.Find 4/12 of 72.[3]
- 11.Find 7/9 of 45.[3]
- 12.Find 2/4 of 36.[3]
Show answers and working
1. 9
Divide by the denominator: 18 ÷ 2 = 9. Multiply by the numerator: 9 × 1 = 9.
2. 12
Divide by the denominator: 36 ÷ 3 = 12. Multiply by the numerator: 12 × 1 = 12.
3. 2
Divide by the denominator: 8 ÷ 4 = 2. Multiply by the numerator: 2 × 1 = 2.
4. 10
Divide by the denominator: 30 ÷ 3 = 10. Multiply by the numerator: 10 × 1 = 10.
5. 15
Divide by the denominator: 18 ÷ 6 = 3. Multiply by the numerator: 3 × 5 = 15.
6. 24
Divide by the denominator: 36 ÷ 3 = 12. Multiply by the numerator: 12 × 2 = 24.
7. 66
Divide by the denominator: 88 ÷ 8 = 11. Multiply by the numerator: 11 × 6 = 66.
8. 33
Divide by the denominator: 66 ÷ 6 = 11. Multiply by the numerator: 11 × 3 = 33.
9. 9
Divide by the denominator: 72 ÷ 8 = 9. Multiply by the numerator: 9 × 1 = 9.
10. 24
Divide by the denominator: 72 ÷ 12 = 6. Multiply by the numerator: 6 × 4 = 24.
11. 35
Divide by the denominator: 45 ÷ 9 = 5. Multiply by the numerator: 5 × 7 = 35.
12. 18
Divide by the denominator: 36 ÷ 4 = 9. Multiply by the numerator: 9 × 2 = 18.
Worked examples
Find 1/3 of 27.
- Divide by the denominator: 27 ÷ 3 = 9.
- Multiply by the numerator: 9 × 1 = 9.
- Answer: 9
Find 1/3 of 27.
- Divide by the denominator: 27 ÷ 3 = 9.
- Multiply by the numerator: 9 × 1 = 9.
- Answer: 9
Find 1/5 of 60.
- Divide by the denominator: 60 ÷ 5 = 12.
- Multiply by the numerator: 12 × 1 = 12.
- Answer: 12
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Multiplies by the denominator instead of dividing.
Correction: Divide by the bottom, times by the top.
Stops after finding one part.
Correction: If the numerator is more than 1, multiply.
Teacher tips
- · Use bar models split into equal parts.
Parent tips
- · Work out 1/4 of the money in a jar.
Real-life applications
- · Sale prices like '1/3 off', sharing money.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Working with Fraction of a Quantity 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 Introducing Fraction of a Quantity, Dividing 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 Working with Fraction of a Quantity?
- Move on to Fraction of a Quantity in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.
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