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Year 7 Maths — Understanding fractions

Place fractions on a number line, find equivalent fractions, compare them, and switch between mixed numbers and improper fractions.

Name: ________________________

Before you start

Move along the line and watch the quarters go past. See which fractions land on a whole number and which land between two of them.

0.001.002.00

Every fourth step lands on a whole number, because four quarters make one whole. That is the same fact as 4/4 = 1.

  1. 1.What fraction of an hour is 45 minutes? Write it in its simplest form.

  2. 2.Match each fraction to an equivalent one with a larger bottom number.

    • 1/2
    • 1/3
    • 2/5
    • 3/4
    • 2/3
    • 4/12
    • 10/15
    • 9/12
    • 8/20
    • 5/10

  3. 3.Which of these fractions is NOT equivalent to 2/3?

    • a) 8/12
    • b) 6/8
    • c) 4/6
    • d) 10/15

  4. 4.Put these fractions in order, smallest first.

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

  5. 5.Write 2 3/5 as an improper fraction.

  6. 6.Fill in the missing number: 2/5 = ?/20

  7. 7.Fill in the missing number: 3/4 = 15/?

  8. 8.Which fraction is larger, 3/5 or 5/8?

    • a) 5/8
    • b) You cannot compare them
    • c) They are equal
    • d) 3/5

Answer key — Year 7 Maths — Understanding fractions

  1. 1.
    • 3/4
    • 3 / 4
    • three quarters
    • three-quarters
  2. 2. 1/2 → 5/10; 1/3 → 4/12; 2/5 → 8/20; 3/4 → 9/12; 2/3 → 10/15
  3. 3. b) 6/8
  4. 4. 1. 1/6 2. 1/4 3. 1/3 4. 1/2 5. 2/3 6. 3/4
  5. 5.
    • 13/5
    • 13 / 5
  6. 6. 8
  7. 7. 20
  8. 8. a) 5/8