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Year 6 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.Tap where 3/4 sits.

    Mark the line with an X.

    0.001.00

  2. 2.Write 17/5 as a mixed number.

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

  4. 4.Write 18/24 in its simplest form.

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

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

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

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

  7. 7.Tap where 7/4 sits.

    Mark the line with an X.

    0.001.002.003.00

  8. 8.Sort each fraction by whether it is less than 1 or more than 1.

    Groups: Less than 1 · More than 1

    • 3/4
    • 7/8
    • 9/7
    • 8/3
    • 5/4
    • 5/9

Answer key — Year 6 Maths — Understanding fractions

  1. 1. 0.75
  2. 2.
    • 3 2/5
    • 3 2 / 5
  3. 3. 8
  4. 4.
    • 3/4
    • 3 / 4
    • three quarters
    • three-quarters
  5. 5. d) 5/8
  6. 6. b) 6/8
  7. 7. 1.75
  8. 8. 3/4 → Less than 1; 5/4 → More than 1; 7/8 → Less than 1; 9/7 → More than 1; 5/9 → Less than 1; 8/3 → More than 1