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Free Grade 3 Introducing Fractions to Percentages Flashcards

Free Grade 3 flashcards 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.

Price

Free

Difficulty

Foundation

Estimated time

35 min

Total marks

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.

Key wordsdecimalpercentageconvertequivalent

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.Write 3/4 as a decimal and a percentage.[1]
  2. 2.Write 4/5 as a decimal and a percentage.[1]
  3. 3.Write 3/10 as a decimal and a percentage.[1]
  4. 4.Write 1/5 as a decimal and a percentage.[1]
  5. 5.Write 22/25 as a decimal and a percentage.[2]
  6. 6.Write 3/25 as a decimal and a percentage.[2]
  7. 7.Write 12/20 as a decimal and a percentage.[2]
  8. 8.Write 9/25 as a decimal and a percentage.[2]
  9. 9.Write 17/25 as a decimal and a percentage.[3]
  10. 10.Write 1/4 as a decimal and a percentage.[3]
  11. 11.Write 2/8 as a decimal and a percentage.[3]
  12. 12.Write 6/8 as a decimal and a percentage.[3]
Show answers and working
  1. 1. 0.75 and 75%

    3 ÷ 4 = 0.75. × 100 for a percentage: 75%.

  2. 2. 0.8 and 80%

    4 ÷ 5 = 0.8. × 100 for a percentage: 80%.

  3. 3. 0.3 and 30%

    3 ÷ 10 = 0.3. × 100 for a percentage: 30%.

  4. 4. 0.2 and 20%

    1 ÷ 5 = 0.2. × 100 for a percentage: 20%.

  5. 5. 0.88 and 88%

    22 ÷ 25 = 0.88. × 100 for a percentage: 88%.

  6. 6. 0.12 and 12%

    3 ÷ 25 = 0.12. × 100 for a percentage: 12%.

  7. 7. 0.6 and 60%

    12 ÷ 20 = 0.6. × 100 for a percentage: 60%.

  8. 8. 0.36 and 36%

    9 ÷ 25 = 0.36. × 100 for a percentage: 36%.

  9. 9. 0.68 and 68%

    17 ÷ 25 = 0.68. × 100 for a percentage: 68%.

  10. 10. 0.25 and 25%

    1 ÷ 4 = 0.25. × 100 for a percentage: 25%.

  11. 11. 0.25 and 25%

    2 ÷ 8 = 0.25. × 100 for a percentage: 25%.

  12. 12. 0.75 and 75%

    6 ÷ 8 = 0.75. × 100 for a percentage: 75%.

Worked examples

Easy example

Write 2/4 as a decimal and a percentage.

  1. 2 ÷ 4 = 0.5.
  2. × 100 for a percentage: 50%.
  3. Answer: 0.5 and 50%
Medium example

Write 19/20 as a decimal and a percentage.

  1. 19 ÷ 20 = 0.95.
  2. × 100 for a percentage: 95%.
  3. Answer: 0.95 and 95%
Hard example

Write 17/20 as a decimal and a percentage.

  1. 17 ÷ 20 = 0.85.
  2. × 100 for a percentage: 85%.
  3. Answer: 0.85 and 85%

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.

COLLEGE-BOARD COL-497.1 — Mapped statement covering Introducing Fractions to Percentages.AQA AQA-404.2 — Mapped statement covering Introducing Fractions to Percentages.

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Frequently asked

Is this Grade 3 Introducing Fractions to Percentages 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 Decimals to Fractions. 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 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.

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