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Year 3 Maths — Equivalent fractions

Recognise fractions that are worth the same amount.

Name: ________________________

Before you start

Shade some of the bar, then cut it into more pieces. What happens to the shaded part?

123456789101112

Cutting the bar into more pieces never changes how much is shaded — only what you call it.

  1. 1.Which fraction is the same as 5/10?

    • a) 1/5
    • b) 2/5
    • c) 5/5
    • d) 1/2

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

  3. 3.Which fraction is the same as 1/3?

    • a) 2/5
    • b) 1/6
    • c) 3/4
    • d) 2/6

  4. 4.Cut the bar into equal parts and shade 2/3 of it.

    Divide the bar into equal parts and shade it to show the fraction.

    123456789101112

  5. 5.Sort each fraction by whether it is worth the same as 2/3 or not.

    Groups: The same as 2/3 · Not the same as 2/3

    • 4/6
    • 5/8
    • 2/5
    • 10/15
    • 3/5
    • 8/12

  6. 6.Write 4/8 in its simplest form.

  7. 7.Each mark on this line is one twelfth. Which mark is 2/3 of the whole?

    Mark the line with an X.

    024681012

  8. 8.The top bar shows 3/4. Shade the bottom bar so that it shows the same amount.

    Shade the second bar to show the same amount as the first.

    3/4

Answer key — Year 3 Maths — Equivalent fractions

  1. 1. d) 1/2
  2. 2. 20
  3. 3. d) 2/6
  4. 4. 2/3 — 4/6 or 6/9 or 8/12 also show it
  5. 5. 4/6 → The same as 2/3; 3/5 → Not the same as 2/3; 10/15 → The same as 2/3; 5/8 → Not the same as 2/3; 8/12 → The same as 2/3; 2/5 → Not the same as 2/3
  6. 6. 1/2
  7. 7. 8
  8. 8. 6/8