One Quantity as a Fraction · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

One Quantity as a Fraction of Another

Mathematics · Ratio & Proportion · ages 11-12
Name ______________________   Date ____________

  1. Simplify 45/120 to its simplest form.

    • 9/24
    • 3/8
    • 1/3

  2. Which fraction is 20/60 in simplest form?

    • 1/4
    • 1/3
    • 2/3
    • 1/6

  3. How many minutes are in 2 hours?

    Answer: ______________

  4. There are 45 minutes and 2 hours (120 minutes). What fraction of 2 hours is 45 minutes, before simplifying?

    • 45/120
    • 120/45
    • 2/45

  5. Express 2 m as a fraction of 50 cm. Give the fraction in simplest form.

    • 4
    • 1/4
    • 2/5
    • 5/2

  6. Convert 2 hours into minutes, so it can be compared with a time given in minutes.

    Answer: ______________

  7. Express 15 minutes as a fraction of 1 hour. Write the simplified value as a decimal.

    Answer: ______________

  8. In a fruit bowl there are 4 apples out of 10 pieces of fruit in total. What fraction of the bowl is apples, simplified?

    • 2/5
    • 4/10
    • 5/2

  9. Ravi wants to write 3 hours as a fraction of 40 minutes. He writes 3/40. What mistake did he make?

    • He should have simplified the fraction
    • He didn't convert 3 hours into minutes first
    • He compared the wrong two amounts

  10. A 2-hour film has run for 1 hour 30 minutes. What fraction of the film has run? Write the simplified value as a decimal.

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

One Quantity as a Fraction of Another W1-mt_xAf2bu9wYK-s1

  1. 3/8 · Divide top and bottom by 15: 45 divided by 15 is 3, and 120 divided by 15 is 8, so 3/8.
  2. 1/3 · 20 and 60 share a factor of 20, and 20/60 reduces to 1/3.
  3. 120 · One hour holds 60 minutes, so 2 hours hold 120 minutes.
  4. 45/120 · Put the smaller time on top and the total minutes on the bottom: 45 out of 120.
  5. 4 · 2 m is 200 cm, and 200/50 simplifies to 4.
  6. 120 · There are 60 minutes in each hour, so 2 hours = 2 x 60 = 120 minutes.
  7. 0.25 · 15/60 simplifies to 1/4, which is 0.25.
  8. 2/5 · 4/10 simplifies to 2/5 by dividing both numbers by 2.
  9. He didn't convert 3 hours into minutes first · Before writing the fraction, both amounts must be in the same unit. 3 hours = 180 minutes, so the fraction is 180/40, which simplifies to 9/2.
  10. 0.75 · 90/120 simplifies to 3/4, which is 0.75.
Worksheet · LightMySky