Free Grade 3 Working with Fractions to Percentages Lessons
Free Grade 3 lessons for Working with Fractions to Percentages: 12 real questions with a full answer key and worked solutions. Fractions, decimals and percentages are three ways to write the same amount. Divide the numerator by the denominator to get a decimal; multiply by 100 for a percentage.
Free
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with fractions to percentages
Explain working with fractions to percentages accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with fractions to percentages
Calculate working with fractions to percentages accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with fractions to percentages
Compare working with fractions to percentages accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with fractions to percentages
Justify working with fractions to percentages 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 Fractions to Percentages works
Fractions, decimals and percentages are three ways to write the same amount. Divide the numerator by the denominator to get a decimal; multiply by 100 for a percentage.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Write 4/5 as a decimal and a percentage.[1]
- 2.Write 2/4 as a decimal and a percentage.[1]
- 3.Write 1/4 as a decimal and a percentage.[1]
- 4.Write 2/10 as a decimal and a percentage.[1]
- 5.Write 1/5 as a decimal and a percentage.[2]
- 6.Write 3/8 as a decimal and a percentage.[2]
- 7.Write 10/20 as a decimal and a percentage.[2]
- 8.Write 7/25 as a decimal and a percentage.[2]
- 9.Write 5/25 as a decimal and a percentage.[3]
- 10.Write 2/25 as a decimal and a percentage.[3]
- 11.Write 18/25 as a decimal and a percentage.[3]
- 12.Write 3/20 as a decimal and a percentage.[3]
Show answers and working
1. 0.8 and 80%
4 ÷ 5 = 0.8. × 100 for a percentage: 80%.
2. 0.5 and 50%
2 ÷ 4 = 0.5. × 100 for a percentage: 50%.
3. 0.25 and 25%
1 ÷ 4 = 0.25. × 100 for a percentage: 25%.
4. 0.2 and 20%
2 ÷ 10 = 0.2. × 100 for a percentage: 20%.
5. 0.2 and 20%
1 ÷ 5 = 0.2. × 100 for a percentage: 20%.
6. 0.375 and 37.5%
3 ÷ 8 = 0.375. × 100 for a percentage: 37.5%.
7. 0.5 and 50%
10 ÷ 20 = 0.5. × 100 for a percentage: 50%.
8. 0.28 and 28%
7 ÷ 25 = 0.28. × 100 for a percentage: 28%.
9. 0.2 and 20%
5 ÷ 25 = 0.2. × 100 for a percentage: 20%.
10. 0.08 and 8%
2 ÷ 25 = 0.08. × 100 for a percentage: 8%.
11. 0.72 and 72%
18 ÷ 25 = 0.72. × 100 for a percentage: 72%.
12. 0.15 and 15%
3 ÷ 20 = 0.15. × 100 for a percentage: 15%.
Worked examples
Write 4/10 as a decimal and a percentage.
- 4 ÷ 10 = 0.4.
- × 100 for a percentage: 40%.
- Answer: 0.4 and 40%
Write 18/20 as a decimal and a percentage.
- 18 ÷ 20 = 0.9.
- × 100 for a percentage: 90%.
- Answer: 0.9 and 90%
Write 3/4 as a decimal and a percentage.
- 3 ÷ 4 = 0.75.
- × 100 for a percentage: 75%.
- Answer: 0.75 and 75%
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Writes 1/4 as 1.4.
Correction: 1/4 means 1 ÷ 4 = 0.25.
Writes 0.5 as 5%.
Correction: Multiply by 100: 0.5 = 50%.
Teacher tips
- · Keep a class chart of key equivalents (1/2, 1/4, 1/5, 1/10).
Parent tips
- · Spot halves and quarters as % in shop sales.
Real-life applications
- · Comparing discounts written in different forms.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Working with Fractions to Percentages
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Frequently asked
- Is this Grade 3 Working with Fractions to Percentages 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 Introducing Fractions to Percentages, Decimals to 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 Working with Fractions to Percentages?
- Move on to Fractions to Percentages in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.
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