Worksheet: Representing Fractions as Divisions

In this worksheet, we will practice representing the answer to a division problem with both a division sentence and a fraction whose denominator represents the number of shares or groups.

Q1:

If Charlotte is 5 years old, and her mother is 30 years old, what fraction of her mother’s age is Charlotte? Express the answer in the simplest form.

  • A75
  • B56
  • C16
  • D17
  • E57

Q2:

A group of tourists was taken on a tour in Paris. A survey was conducted after the tour to ask the tourists which destination they found to be the most interesting, and the results of which are shown in the table. Determine the fraction of tourists who thought the Notre Dame Cathedral was the most interesting, and express the answer in the simplest form.

DestinationEiffel TowerNotre Dame CathedralSeine RiverChurch of Saint-EustacheOpΓ©ra Garnier
Frequency1540263734
  • A519
  • B1376
  • C1776
  • D37152
  • E15152

Q3:

In the figure, what fraction of length 𝐸𝐹 is length 𝐴𝐡? Give your answer in its simplest form.

  • A13
  • B3
  • C925
  • D259

Q4:

If Charlotte is 3 years old, and her mother is 27 years old, what fraction of her mother’s age is Charlotte? Express the answer in the simplest form.

  • A54
  • B89
  • C19
  • D110
  • E45

Q5:

Rewrite π‘₯Γ·7 as a fraction.

  • Aπ‘₯7π‘₯
  • B77π‘₯
  • C7π‘₯π‘₯
  • Dπ‘₯7
  • E7π‘₯

Q6:

Rewrite 25÷𝑑 as a fraction.

  • A𝑑25
  • B2525𝑑
  • C25𝑑25
  • D25𝑑
  • E𝑑25𝑑

Q7:

Rewrite 44β„Ž as a division.

  • Aβ„ŽΓ·44β„Ž
  • Bβ„ŽΓ·44
  • C44Γ·44β„Ž
  • D44β„ŽΓ·β„Ž
  • E44Γ·β„Ž

Q8:

Rewrite 𝑝12 as a division.

  • A𝑝÷12
  • B𝑝÷12𝑝
  • C12𝑝÷𝑝
  • D12÷𝑝
  • E12Γ·12𝑝

Q9:

A 5-meter long ribbon is cut into two equal parts. How long is each part? Give your answer in meters and as a mixed number.

  • A215
  • B221
  • C12
  • D252
  • E212

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