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Free Grade 3 Fractions to Decimals in Context Quizzes

Free Grade 3 quizzes for Fractions to Decimals in Context: 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

Core

Estimated time

30 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify fractions to decimals in context

    Identify fractions to decimals in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain fractions to decimals in context

    Explain fractions to decimals in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate fractions to decimals in context

    Calculate fractions to decimals in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare fractions to decimals in context

    Compare fractions to decimals in context 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 Fractions to Decimals in Context 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 2/4 as a decimal and a percentage.[1]
  2. 2.Write 1/2 as a decimal and a percentage.[1]
  3. 3.Write 2/5 as a decimal and a percentage.[1]
  4. 4.Write 1/5 as a decimal and a percentage.[1]
  5. 5.Write 19/20 as a decimal and a percentage.[2]
  6. 6.Write 2/8 as a decimal and a percentage.[2]
  7. 7.Write 3/4 as a decimal and a percentage.[2]
  8. 8.Write 5/8 as a decimal and a percentage.[2]
  9. 9.Write 3/5 as a decimal and a percentage.[3]
  10. 10.Write 1/4 as a decimal and a percentage.[3]
  11. 11.Write 1/20 as a decimal and a percentage.[3]
  12. 12.Write 3/8 as a decimal and a percentage.[3]
Show answers and working
  1. 1. 0.5 and 50%

    2 ÷ 4 = 0.5. × 100 for a percentage: 50%.

  2. 2. 0.5 and 50%

    1 ÷ 2 = 0.5. × 100 for a percentage: 50%.

  3. 3. 0.4 and 40%

    2 ÷ 5 = 0.4. × 100 for a percentage: 40%.

  4. 4. 0.2 and 20%

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

  5. 5. 0.95 and 95%

    19 ÷ 20 = 0.95. × 100 for a percentage: 95%.

  6. 6. 0.25 and 25%

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

  7. 7. 0.75 and 75%

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

  8. 8. 0.625 and 62.5%

    5 ÷ 8 = 0.625. × 100 for a percentage: 62.5%.

  9. 9. 0.6 and 60%

    3 ÷ 5 = 0.6. × 100 for a percentage: 60%.

  10. 10. 0.25 and 25%

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

  11. 11. 0.05 and 5%

    1 ÷ 20 = 0.05. × 100 for a percentage: 5%.

  12. 12. 0.375 and 37.5%

    3 ÷ 8 = 0.375. × 100 for a percentage: 37.5%.

Worked examples

Easy example

Write 3/10 as a decimal and a percentage.

  1. 3 ÷ 10 = 0.3.
  2. × 100 for a percentage: 30%.
  3. Answer: 0.3 and 30%
Medium example

Write 17/25 as a decimal and a percentage.

  1. 17 ÷ 25 = 0.68.
  2. × 100 for a percentage: 68%.
  3. Answer: 0.68 and 68%
Hard example

Write 10/20 as a decimal and a percentage.

  1. 10 ÷ 20 = 0.5.
  2. × 100 for a percentage: 50%.
  3. Answer: 0.5 and 50%

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.

AQA AQA-161.1 — Mapped statement covering Fractions to Decimals in Context.FBISE FBI-375.2 — Mapped statement covering Fractions to Decimals in Context.

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Frequently asked

Is this Grade 3 Fractions to Decimals in Context quiz really free?
Yes. Every quizzes 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 Working with Fractions to Decimals, Introducing Fractions to Decimals, Fraction of a Quantity. Each one has its own free lesson, worksheet and quiz.
How is the quiz 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 Fractions to Decimals in Context?
Move on to Introduction to Fractions, Parts of a Fraction, Numerator, Denominator, which build directly on this idea.

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