Fractions as Sums of Unit Fractions

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Objective

I can break down fractions greater than one into sums of unit fractions.

Part 1 of 4

Warm-up video

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We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    The fraction 7/9 can be represented visually by dividing a whole into 9 equal sections and shading 7 of those sections.

  2. 2

    Decomposing 7/9 can be done by expressing it as the sum of other fractions, such as 2/9 + 3/9 + 2/9.

  3. 3

    When adding fractions with the same denominator, you can simply add the numerators to find the total, like 1/9 + 2/9 + 4/9 = 7/9.

Part 3 of 4

Practice

3 questions

1

Express 5/6 as a sum of fractions with the same denominator in two different ways. Each fraction in the sum must be greater than 0/6.

2

Which of the following equations correctly decomposes 8/11 into a sum of fractions?

Part 4 of 4

Exit ticket

Quick comprehension check

Express ⁵⁄₆ as a sum of fractions. Each fraction in the sum must have a numerator of 1.

Sample answer included in the free materials

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