Lesson Worksheet: Break It Down Mathematics

In this worksheet, we will practice decomposing non-unit fractions into unit fractions using models.

Q1:

Yara wants to decompose 1112. Her friend helps her decompose it as a sum of unit fractions, as shown: 112+112+112+112+112+112+112+112+112+112+112.

What other way can you use to help Yara decompose 1112?

  • A512+612
  • B112+112+112+112+112+112+112+112+112+112
  • C511+611
  • D612+612

Q2:

Use the given model to write 68 as a sum of unit fractions.

  • A18+18+18+18+18
  • B28+48
  • C18+18+18+18+18+18
  • D38+38
  • E18+18+18+18+18+18+18

Q3:

Complete the following: 34=++.

  • A31+31+31
  • B14+14+14
  • C41+41+41
  • D14+13+14
  • E13+13+13

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