Free Grade 3 Introducing Fractions to Percentages Lessons
Free Grade 3 lessons for Introducing 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing fractions to percentages
Explain introducing fractions to percentages accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing fractions to percentages
Calculate introducing fractions to percentages accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing fractions to percentages
Compare introducing fractions to percentages accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing fractions to percentages
Justify introducing 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 Introducing 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 7/10 as a decimal and a percentage.[1]
- 2.Write 1/5 as a decimal and a percentage.[1]
- 3.Write 5/10 as a decimal and a percentage.[1]
- 4.Write 1/2 as a decimal and a percentage.[1]
- 5.Write 1/20 as a decimal and a percentage.[2]
- 6.Write 3/4 as a decimal and a percentage.[2]
- 7.Write 3/5 as a decimal and a percentage.[2]
- 8.Write 11/25 as a decimal and a percentage.[2]
- 9.Write 14/20 as a decimal and a percentage.[3]
- 10.Write 4/25 as a decimal and a percentage.[3]
- 11.Write 2/8 as a decimal and a percentage.[3]
- 12.Write 1/4 as a decimal and a percentage.[3]
Show answers and working
1. 0.7 and 70%
7 ÷ 10 = 0.7. × 100 for a percentage: 70%.
2. 0.2 and 20%
1 ÷ 5 = 0.2. × 100 for a percentage: 20%.
3. 0.5 and 50%
5 ÷ 10 = 0.5. × 100 for a percentage: 50%.
4. 0.5 and 50%
1 ÷ 2 = 0.5. × 100 for a percentage: 50%.
5. 0.05 and 5%
1 ÷ 20 = 0.05. × 100 for a percentage: 5%.
6. 0.75 and 75%
3 ÷ 4 = 0.75. × 100 for a percentage: 75%.
7. 0.6 and 60%
3 ÷ 5 = 0.6. × 100 for a percentage: 60%.
8. 0.44 and 44%
11 ÷ 25 = 0.44. × 100 for a percentage: 44%.
9. 0.7 and 70%
14 ÷ 20 = 0.7. × 100 for a percentage: 70%.
10. 0.16 and 16%
4 ÷ 25 = 0.16. × 100 for a percentage: 16%.
11. 0.25 and 25%
2 ÷ 8 = 0.25. × 100 for a percentage: 25%.
12. 0.25 and 25%
1 ÷ 4 = 0.25. × 100 for a percentage: 25%.
Worked examples
Write 4/5 as a decimal and a percentage.
- 4 ÷ 5 = 0.8.
- × 100 for a percentage: 80%.
- Answer: 0.8 and 80%
Write 4/5 as a decimal and a percentage.
- 4 ÷ 5 = 0.8.
- × 100 for a percentage: 80%.
- Answer: 0.8 and 80%
Write 18/25 as a decimal and a percentage.
- 18 ÷ 25 = 0.72.
- × 100 for a percentage: 72%.
- Answer: 0.72 and 72%
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 Introducing Fractions to Percentages
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Introducing 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 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 Introducing Fractions to Percentages?
- Move on to Working with Fractions to Percentages, Fractions to Percentages in Context, Introduction to Fractions, Parts of a Fraction, which build directly on this idea.
Related resources
Stuck on Introducing Fractions to Percentages? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor