Free Grade 3 Introducing Decimals to Fractions Lesson Plans
Free Grade 3 lesson plans for Introducing Decimals to Fractions: 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing decimals to fractions
Explain introducing decimals to fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing decimals to fractions
Calculate introducing decimals to fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing decimals to fractions
Compare introducing decimals to fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing decimals to fractions
Justify introducing decimals to 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 Decimals to Fractions 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 3/5 as a decimal and a percentage.[1]
- 2.Write 1/2 as a decimal and a percentage.[1]
- 3.Write 5/10 as a decimal and a percentage.[1]
- 4.Write 3/4 as a decimal and a percentage.[1]
- 5.Write 5/25 as a decimal and a percentage.[2]
- 6.Write 2/5 as a decimal and a percentage.[2]
- 7.Write 17/25 as a decimal and a percentage.[2]
- 8.Write 2/8 as a decimal and a percentage.[2]
- 9.Write 17/20 as a decimal and a percentage.[3]
- 10.Write 1/4 as a decimal and a percentage.[3]
- 11.Write 1/5 as a decimal and a percentage.[3]
- 12.Write 13/25 as a decimal and a percentage.[3]
Show answers and working
1. 0.6 and 60%
3 ÷ 5 = 0.6. × 100 for a percentage: 60%.
2. 0.5 and 50%
1 ÷ 2 = 0.5. × 100 for a percentage: 50%.
3. 0.5 and 50%
5 ÷ 10 = 0.5. × 100 for a percentage: 50%.
4. 0.75 and 75%
3 ÷ 4 = 0.75. × 100 for a percentage: 75%.
5. 0.2 and 20%
5 ÷ 25 = 0.2. × 100 for a percentage: 20%.
6. 0.4 and 40%
2 ÷ 5 = 0.4. × 100 for a percentage: 40%.
7. 0.68 and 68%
17 ÷ 25 = 0.68. × 100 for a percentage: 68%.
8. 0.25 and 25%
2 ÷ 8 = 0.25. × 100 for a percentage: 25%.
9. 0.85 and 85%
17 ÷ 20 = 0.85. × 100 for a percentage: 85%.
10. 0.25 and 25%
1 ÷ 4 = 0.25. × 100 for a percentage: 25%.
11. 0.2 and 20%
1 ÷ 5 = 0.2. × 100 for a percentage: 20%.
12. 0.52 and 52%
13 ÷ 25 = 0.52. × 100 for a percentage: 52%.
Worked examples
Write 2/10 as a decimal and a percentage.
- 2 ÷ 10 = 0.2.
- × 100 for a percentage: 20%.
- Answer: 0.2 and 20%
Write 2/4 as a decimal and a percentage.
- 2 ÷ 4 = 0.5.
- × 100 for a percentage: 50%.
- Answer: 0.5 and 50%
Write 4/20 as a decimal and a percentage.
- 4 ÷ 20 = 0.2.
- × 100 for a percentage: 20%.
- Answer: 0.2 and 20%
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.
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Frequently asked
- Is this Grade 3 Introducing Decimals to Fractions 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 Fractions to Decimals. 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 Introducing Decimals to Fractions?
- Move on to Working with Decimals to Fractions, Decimals to Fractions in Context, Introduction to Fractions, Parts of a Fraction, which build directly on this idea.
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