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Third/Fractions

Decomposing Fractions

Practice decomposing fractions into sums of unit fractions. Understand how fractions are built from smaller parts.
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Study Guide

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Practice Questions

  1. Decompose the fraction:3/4 = ?
    Show answer

    1/4 + 1/4 + 1/4

  2. Decompose the fraction:4/5 = ?
    Show answer

    1/5 + 1/5 + 1/5 + 1/5

  3. Decompose the fraction:3/3 = ?
    Show answer

    1/3 + 1/3 + 1/3

  4. Decompose the fraction:2/5 = ?
    Show answer

    1/5 + 1/5

  5. Decompose the fraction:6/6 = ?
    Show answer

    1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6

Teacher Resources
Teaching Notes

Emphasize visual models to show parts of a whole. Highlight that unit fractions have a numerator of 1.

Vocabulary
Decompose: To break something into smaller parts.
Unit Fraction: A fraction with a numerator of 1.
Common Mistakes
  • Incorrectly identifying unit fractions
  • Forgetting the denominator
  • Miscounting shaded parts
  • Not using only 1 in numerator
Differentiation
SupportProvide fraction manipulatives. Review basic fraction identification.
ChallengeDecompose fractions in multiple ways. Decompose improper fractions.
Discussion Questions
  • What is a unit fraction?
  • How does the denominator help us?
  • Why is the numerator always 1?
  • How can models show fraction decomposition?
Extension Activities
  • Use fraction strips.
  • Draw fraction models.
  • Find different decompositions.
Parent Tip

Ask your child to show how 1/2 can be made of two 1/4 pieces.

Learning Path
Skill Level

beginner

Estimated Time

15 minutes

Skills Practiced
Decomposing Fractions