← Back to the activity

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

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

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

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

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

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

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

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

  6. 6.Tap where 7/4 sits.

    Mark the line with an X.

    0.001.002.003.00

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

    Groups: Less than 1 · More than 1

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

  8. 8.Tap where 3/4 sits.

    Mark the line with an X.

    0.001.00

Answer key — Class 6 Maths — Understanding fractions

  1. 1. d) 6/8
  2. 2.
    • 3/4
    • 3 / 4
    • three quarters
    • three-quarters
  3. 3. 1/2 → 5/10; 1/3 → 4/12; 2/5 → 8/20; 3/4 → 9/12; 2/3 → 10/15
  4. 4. c) 5/8
  5. 5.
    • 13/5
    • 13 / 5
  6. 6. 1.75
  7. 7. 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
  8. 8. 0.75