Free Grade 3 Introducing Decimals to Fractions Flashcards
Free Grade 3 flashcards 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
Higher
20 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 1/10 as a decimal and a percentage.[1]
- 2.Write 9/10 as a decimal and a percentage.[1]
- 3.Write 2/4 as a decimal and a percentage.[1]
- 4.Write 1/4 as a decimal and a percentage.[1]
- 5.Write 2/5 as a decimal and a percentage.[2]
- 6.Write 7/20 as a decimal and a percentage.[2]
- 7.Write 4/20 as a decimal and a percentage.[2]
- 8.Write 1/5 as a decimal and a percentage.[2]
- 9.Write 5/8 as a decimal and a percentage.[3]
- 10.Write 2/8 as a decimal and a percentage.[3]
- 11.Write 3/8 as a decimal and a percentage.[3]
- 12.Write 17/25 as a decimal and a percentage.[3]
Show answers and working
1. 0.1 and 10%
1 ÷ 10 = 0.1. × 100 for a percentage: 10%.
2. 0.9 and 90%
9 ÷ 10 = 0.9. × 100 for a percentage: 90%.
3. 0.5 and 50%
2 ÷ 4 = 0.5. × 100 for a percentage: 50%.
4. 0.25 and 25%
1 ÷ 4 = 0.25. × 100 for a percentage: 25%.
5. 0.4 and 40%
2 ÷ 5 = 0.4. × 100 for a percentage: 40%.
6. 0.35 and 35%
7 ÷ 20 = 0.35. × 100 for a percentage: 35%.
7. 0.2 and 20%
4 ÷ 20 = 0.2. × 100 for a percentage: 20%.
8. 0.2 and 20%
1 ÷ 5 = 0.2. × 100 for a percentage: 20%.
9. 0.625 and 62.5%
5 ÷ 8 = 0.625. × 100 for a percentage: 62.5%.
10. 0.25 and 25%
2 ÷ 8 = 0.25. × 100 for a percentage: 25%.
11. 0.375 and 37.5%
3 ÷ 8 = 0.375. × 100 for a percentage: 37.5%.
12. 0.68 and 68%
17 ÷ 25 = 0.68. × 100 for a percentage: 68%.
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 15/20 as a decimal and a percentage.
- 15 ÷ 20 = 0.75.
- × 100 for a percentage: 75%.
- Answer: 0.75 and 75%
Write 19/25 as a decimal and a percentage.
- 19 ÷ 25 = 0.76.
- × 100 for a percentage: 76%.
- Answer: 0.76 and 76%
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 Decimals to Fractions
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 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. 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 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.
Related resources
Stuck on Introducing Decimals to Fractions? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor