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4th Grade Math (Grade 4) · Chapter 8 · Lesson 8.1 · Printable PDF

Decomposing a Fraction Into Unit Fractions Worksheet with Answer Key

6 problems on decomposing a fraction into unit fractions: writing a fraction as a sum of unit fractions, finding missing parts, ice pop molds, chocolate bar shares, a bus loop, and checking Jin's split. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Decomposing a fraction into unit fractions worksheet with answer key - 4th Grade Math (Grade 4) (Page 1 PDF preview)
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What's on the worksheet

  1. Write each fraction as a sum of unit fractions, and each sum as a single fraction:
    \dfrac{3}{4}\dfrac{4}{6}\dfrac{1}{5} + \dfrac{1}{5} + \dfrac{1}{5} + \dfrac{1}{5}\dfrac{1}{100} + \dfrac{1}{100} + \dfrac{1}{100}\dfrac{5}{12}
  2. Find the missing number in each way of splitting a fraction:
  3. Ryan's ice pop tray: write the filled fraction as one fraction and as a sum.
  4. Write an equation for every way Ben can share 7 squares among three friends.
  5. Word problem: how much of the bus loop does Daniel ride over 17 parts?
  6. Is Jin right to split the top and bottom of 5 eighths? Write a correct way.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Decomposing a fraction into unit fractions: the lesson ›

More Chapter 8 worksheets: Adding and subtracting fractions and mixed numbers