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Free Grade 3 Common Fraction Errors in Context Flashcards

Free Grade 3 flashcards for Common Fraction Errors in Context: 12 real questions with a full answer key and worked solutions. A fraction describes equal parts of a whole. The denominator (bottom) is how many equal parts there are; the numerator (top) is how many we are talking about.

Price

Free

Difficulty

Stretch

Estimated time

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify common fraction errors in context

    Identify common fraction errors in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain common fraction errors in context

    Explain common fraction errors in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate common fraction errors in context

    Calculate common fraction errors in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare common fraction errors in context

    Compare common fraction errors 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 Common Fraction Errors in Context works

A fraction describes equal parts of a whole. The denominator (bottom) is how many equal parts there are; the numerator (top) is how many we are talking about.

Key wordsfractionnumeratordenominatorequal partsunit fraction

12 practice questions

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

  1. 1.A shape is split into 7 equal parts and 1 are shaded. What fraction is shaded, and what fraction is not?[1]
  2. 2.A shape is split into 6 equal parts and 3 are shaded. What fraction is shaded, and what fraction is not?[1]
  3. 3.A shape is split into 5 equal parts and 4 are shaded. What fraction is shaded, and what fraction is not?[1]
  4. 4.A shape is split into 8 equal parts and 1 are shaded. What fraction is shaded, and what fraction is not?[1]
  5. 5.A shape is split into 2 equal parts and 1 are shaded. What fraction is shaded, and what fraction is not?[2]
  6. 6.A shape is split into 12 equal parts and 5 are shaded. What fraction is shaded, and what fraction is not?[2]
  7. 7.A shape is split into 4 equal parts and 1 are shaded. What fraction is shaded, and what fraction is not?[2]
  8. 8.A shape is split into 10 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?[2]
  9. 9.A shape is split into 8 equal parts and 4 are shaded. What fraction is shaded, and what fraction is not?[3]
  10. 10.A shape is split into 9 equal parts and 5 are shaded. What fraction is shaded, and what fraction is not?[3]
  11. 11.A shape is split into 14 equal parts and 3 are shaded. What fraction is shaded, and what fraction is not?[3]
  12. 12.A shape is split into 16 equal parts and 8 are shaded. What fraction is shaded, and what fraction is not?[3]
Show answers and working
  1. 1. 1/7 shaded, 6/7 not shaded

    Denominator = total equal parts = 7. Numerator = shaded parts = 1. Unshaded: 7 − 1 = 6, so 6/7.

  2. 2. 3/6 shaded, 3/6 not shaded

    Denominator = total equal parts = 6. Numerator = shaded parts = 3. Unshaded: 6 − 3 = 3, so 3/6.

  3. 3. 4/5 shaded, 1/5 not shaded

    Denominator = total equal parts = 5. Numerator = shaded parts = 4. Unshaded: 5 − 4 = 1, so 1/5.

  4. 4. 1/8 shaded, 7/8 not shaded

    Denominator = total equal parts = 8. Numerator = shaded parts = 1. Unshaded: 8 − 1 = 7, so 7/8.

  5. 5. 1/2 shaded, 1/2 not shaded

    Denominator = total equal parts = 2. Numerator = shaded parts = 1. Unshaded: 2 − 1 = 1, so 1/2.

  6. 6. 5/12 shaded, 7/12 not shaded

    Denominator = total equal parts = 12. Numerator = shaded parts = 5. Unshaded: 12 − 5 = 7, so 7/12.

  7. 7. 1/4 shaded, 3/4 not shaded

    Denominator = total equal parts = 4. Numerator = shaded parts = 1. Unshaded: 4 − 1 = 3, so 3/4.

  8. 8. 2/10 shaded, 8/10 not shaded

    Denominator = total equal parts = 10. Numerator = shaded parts = 2. Unshaded: 10 − 2 = 8, so 8/10.

  9. 9. 4/8 shaded, 4/8 not shaded

    Denominator = total equal parts = 8. Numerator = shaded parts = 4. Unshaded: 8 − 4 = 4, so 4/8.

  10. 10. 5/9 shaded, 4/9 not shaded

    Denominator = total equal parts = 9. Numerator = shaded parts = 5. Unshaded: 9 − 5 = 4, so 4/9.

  11. 11. 3/14 shaded, 11/14 not shaded

    Denominator = total equal parts = 14. Numerator = shaded parts = 3. Unshaded: 14 − 3 = 11, so 11/14.

  12. 12. 8/16 shaded, 8/16 not shaded

    Denominator = total equal parts = 16. Numerator = shaded parts = 8. Unshaded: 16 − 8 = 8, so 8/16.

Worked examples

Easy example

A shape is split into 7 equal parts and 4 are shaded. What fraction is shaded, and what fraction is not?

  1. Denominator = total equal parts = 7.
  2. Numerator = shaded parts = 4.
  3. Unshaded: 7 − 4 = 3, so 3/7.
  4. Answer: 4/7 shaded, 3/7 not shaded
Medium example

A shape is split into 4 equal parts and 3 are shaded. What fraction is shaded, and what fraction is not?

  1. Denominator = total equal parts = 4.
  2. Numerator = shaded parts = 3.
  3. Unshaded: 4 − 3 = 1, so 1/4.
  4. Answer: 3/4 shaded, 1/4 not shaded
Hard example

A shape is split into 16 equal parts and 6 are shaded. What fraction is shaded, and what fraction is not?

  1. Denominator = total equal parts = 16.
  2. Numerator = shaded parts = 6.
  3. Unshaded: 16 − 6 = 10, so 10/16.
  4. Answer: 6/16 shaded, 10/16 not shaded

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Counts unequal parts as fractions.

    Correction: Parts must be the same size.

  • Swaps numerator and denominator.

    Correction: The denominator is down — it is the total number of parts.

Teacher tips

  • · Fold paper strips into equal parts and label them.

Parent tips

  • · Ask what fraction of the family is wearing blue.

Real-life applications

  • · Sharing food fairly, telling the time (quarter past).

Assessment objectives

How mastery is evidenced, and which standards it maps to.

CAMBRIDGE CAM-500.1 — Mapped statement covering Common Fraction Errors in Context.NATIONAL-CURRICULUM NAT-580.2 — Mapped statement covering Common Fraction Errors in Context.

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Frequently asked

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What should a learner already know before this?
Start with Working with Common Fraction Errors, Introducing Common Fraction Errors, Fractions in Real Life. 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 Common Fraction Errors in Context?
Move on to Introduction to Fractions, Parts of a Fraction, Numerator, Denominator, which build directly on this idea.

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