Free Grade 3 Introducing Fractions to Decimals Lessons
Free Grade 3 lessons for Introducing Fractions to Decimals: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing fractions to decimals
Explain introducing fractions to decimals accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing fractions to decimals
Calculate introducing fractions to decimals accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing fractions to decimals
Compare introducing fractions to decimals accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing fractions to decimals
Justify introducing fractions to decimals 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 Decimals 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 2/10 as a decimal and a percentage.[1]
- 2.Write 1/5 as a decimal and a percentage.[1]
- 3.Write 3/10 as a decimal and a percentage.[1]
- 4.Write 2/4 as a decimal and a percentage.[1]
- 5.Write 10/25 as a decimal and a percentage.[2]
- 6.Write 6/8 as a decimal and a percentage.[2]
- 7.Write 14/25 as a decimal and a percentage.[2]
- 8.Write 4/5 as a decimal and a percentage.[2]
- 9.Write 7/8 as a decimal and a percentage.[3]
- 10.Write 1/4 as a decimal and a percentage.[3]
- 11.Write 1/20 as a decimal and a percentage.[3]
- 12.Write 3/8 as a decimal and a percentage.[3]
Show answers and working
1. 0.2 and 20%
2 ÷ 10 = 0.2. × 100 for a percentage: 20%.
2. 0.2 and 20%
1 ÷ 5 = 0.2. × 100 for a percentage: 20%.
3. 0.3 and 30%
3 ÷ 10 = 0.3. × 100 for a percentage: 30%.
4. 0.5 and 50%
2 ÷ 4 = 0.5. × 100 for a percentage: 50%.
5. 0.4 and 40%
10 ÷ 25 = 0.4. × 100 for a percentage: 40%.
6. 0.75 and 75%
6 ÷ 8 = 0.75. × 100 for a percentage: 75%.
7. 0.56 and 56%
14 ÷ 25 = 0.56. × 100 for a percentage: 56%.
8. 0.8 and 80%
4 ÷ 5 = 0.8. × 100 for a percentage: 80%.
9. 0.875 and 87.5%
7 ÷ 8 = 0.875. × 100 for a percentage: 87.5%.
10. 0.25 and 25%
1 ÷ 4 = 0.25. × 100 for a percentage: 25%.
11. 0.05 and 5%
1 ÷ 20 = 0.05. × 100 for a percentage: 5%.
12. 0.375 and 37.5%
3 ÷ 8 = 0.375. × 100 for a percentage: 37.5%.
Worked examples
Write 1/2 as a decimal and a percentage.
- 1 ÷ 2 = 0.5.
- × 100 for a percentage: 50%.
- Answer: 0.5 and 50%
Write 19/20 as a decimal and a percentage.
- 19 ÷ 20 = 0.95.
- × 100 for a percentage: 95%.
- Answer: 0.95 and 95%
Write 2/25 as a decimal and a percentage.
- 2 ÷ 25 = 0.08.
- × 100 for a percentage: 8%.
- Answer: 0.08 and 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.
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 Decimals
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Frequently asked
- Is this Grade 3 Introducing Fractions to Decimals 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 Fraction of a Quantity. 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 Decimals?
- Move on to Working with Fractions to Decimals, Fractions to Decimals in Context, Introduction to Fractions, Parts of a Fraction, which build directly on this idea.
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