Free Grade 3 Decimals to Fractions Flashcards
Free Grade 3 flashcards for 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain decimals to fractions
Explain decimals to fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate decimals to fractions
Calculate decimals to fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare decimals to fractions
Compare decimals to fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify decimals to fractions
Justify 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 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 3/4 as a decimal and a percentage.[1]
- 2.Write 2/4 as a decimal and a percentage.[1]
- 3.Write 1/2 as a decimal and a percentage.[1]
- 4.Write 4/10 as a decimal and a percentage.[1]
- 5.Write 7/25 as a decimal and a percentage.[2]
- 6.Write 17/20 as a decimal and a percentage.[2]
- 7.Write 13/20 as a decimal and a percentage.[2]
- 8.Write 3/5 as a decimal and a percentage.[2]
- 9.Write 20/25 as a decimal and a percentage.[3]
- 10.Write 6/20 as a decimal and a percentage.[3]
- 11.Write 7/20 as a decimal and a percentage.[3]
- 12.Write 15/25 as a decimal and a percentage.[3]
Show answers and working
1. 0.75 and 75%
3 ÷ 4 = 0.75. × 100 for a percentage: 75%.
2. 0.5 and 50%
2 ÷ 4 = 0.5. × 100 for a percentage: 50%.
3. 0.5 and 50%
1 ÷ 2 = 0.5. × 100 for a percentage: 50%.
4. 0.4 and 40%
4 ÷ 10 = 0.4. × 100 for a percentage: 40%.
5. 0.28 and 28%
7 ÷ 25 = 0.28. × 100 for a percentage: 28%.
6. 0.85 and 85%
17 ÷ 20 = 0.85. × 100 for a percentage: 85%.
7. 0.65 and 65%
13 ÷ 20 = 0.65. × 100 for a percentage: 65%.
8. 0.6 and 60%
3 ÷ 5 = 0.6. × 100 for a percentage: 60%.
9. 0.8 and 80%
20 ÷ 25 = 0.8. × 100 for a percentage: 80%.
10. 0.3 and 30%
6 ÷ 20 = 0.3. × 100 for a percentage: 30%.
11. 0.35 and 35%
7 ÷ 20 = 0.35. × 100 for a percentage: 35%.
12. 0.6 and 60%
15 ÷ 25 = 0.6. × 100 for a percentage: 60%.
Worked examples
Write 7/10 as a decimal and a percentage.
- 7 ÷ 10 = 0.7.
- × 100 for a percentage: 70%.
- Answer: 0.7 and 70%
Write 1/8 as a decimal and a percentage.
- 1 ÷ 8 = 0.125.
- × 100 for a percentage: 12.5%.
- Answer: 0.125 and 12.5%
Write 4/5 as a decimal and a percentage.
- 4 ÷ 5 = 0.8.
- × 100 for a percentage: 80%.
- Answer: 0.8 and 80%
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 Decimals to Fractions
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Learn — Meet the idea.
Practice — Build fluency.
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Frequently asked
- Is this Grade 3 Decimals to Fractions flashcards really free?
- Yes. Every flashcards 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, Fraction of a Quantity, Integers. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Decimals to Fractions?
- Move on to Fractions to Percentages, Fraction Word Problems, Fractions in Real Life, Common Fraction Errors, which build directly on this idea.
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