Worksheet: Representing Fractions as Division

In this worksheet, we will practice representing the answer to a division problem by both a division sentence and a fraction.

Q1:

Complete the following: 19=.monthsyears

If your answer is a fraction, write it in its simplest form.

  • A76
  • B228
  • C 1 9 1 2
  • D 1 9 4

Q2:

An orange is divided into 3 equal parts. What fraction does each part represent?

  • A3
  • B 1 2
  • C 1 3
  • D2

Q3:

The table shows the sports played by 44 students. What fraction of the students play football?

Sports Football Basketball Tennis
Number of Students 22 11 11
  • A 1 5
  • B 2 5
  • C 3 5
  • D 1 2
  • E 1 4

Q4:

If 12 out of every 18 students in a school take the bus, express the fraction of students in the school that commute by bus in the simplest form.

  • A 3 5
  • B 5 2
  • C 2 5
  • D 3 2
  • E 2 3

Q5:

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.

  • A 7 5
  • B 5 6
  • C 1 6
  • D 1 7
  • E 5 7

Q6:

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.

Destination Eiffel Tower Notre Dame Cathedral Seine River Church of Saint-Eustache OpΓ©ra Garnier
Frequency 15 40 26 37 34
  • A 5 1 9
  • B 1 3 7 6
  • C 1 7 7 6
  • D 3 7 1 5 2
  • E 1 5 1 5 2

Q7:

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

  • A 1 3
  • B3
  • C 9 2 5
  • D 2 5 9

Q8:

Find the proper fraction whose numerator is 48, and the difference between its denominator and its numerator is 15.

  • A 4 8 3 3
  • B 4 8 1 5
  • C 1 5 4 8
  • D 4 8 6 3

Q9:

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.

  • A 5 4
  • B 8 9
  • C 1 9
  • D 1 1 0
  • E 4 5

Q10:

If 14 out of every 18 students in a school take the bus, express the fraction of students in the school that commute by bus in the simplest form.

  • A 9 1 6
  • B 1 6 7
  • C 7 1 6
  • D 9 7
  • E 7 9

Q11:

Find the fraction whose denominator is 86 and whose numerator is less than its denominator by 8.

  • A 8 6 9 4
  • B 9 4 8 6
  • C 7 8 8 6
  • D 8 6 7 8

Q12:

Charlotte has 10 marbles. If six of these marbles are red, determine, in its simplest form, the fraction of Charlotte’s marbles that are red.

  • A 3 5
  • B 5 8
  • C 8 3
  • D 3 8
  • E 5 3

Q13:

Rewrite π‘₯Γ·7 as a fraction.

  • A π‘₯ 7 π‘₯
  • B 7 7 π‘₯
  • C 7 π‘₯ π‘₯
  • D π‘₯ 7
  • E 7 π‘₯

Q14:

Rewrite 25÷𝑑 as a fraction.

  • A 𝑑 2 5
  • B 2 5 2 5 𝑑
  • C 2 5 𝑑 2 5
  • D 2 5 𝑑
  • E 𝑑 2 5 𝑑

Q15:

Rewrite 44β„Ž as a division.

  • A β„Ž Γ· 4 4 β„Ž
  • B β„Ž Γ· 4 4
  • C 4 4 Γ· 4 4 β„Ž
  • D 4 4 β„Ž Γ· β„Ž
  • E 4 4 Γ· β„Ž

Q16:

Rewrite 𝑝12 as a division.

  • A 𝑝 Γ· 1 2
  • B 𝑝 Γ· 1 2 𝑝
  • C 1 2 𝑝 Γ· 𝑝
  • D 1 2 Γ· 𝑝
  • E 1 2 Γ· 1 2 𝑝

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.