Equivalent fractions · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Equivalent fractions

Mathematics · Fractions · ages 7-8
Name ______________________   Date ____________

  1. Half of a bar equals how many quarters of the same bar?

    Answer: ______________

  2. Which fraction equals 1/2?

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

  3. Look at the bar. It has 4 equal parts and 2 are shaded. Which fraction shows the same amount as the shading?

    • 1/4
    • 1/2
    • 3/4

  4. 1/2 and 2/4 are equivalent fractions.

    Circle one:   True   False

  5. Three quarters of a strip equals how many eighths of the same strip?

    Answer: ______________

  6. If two shapes are shaded to show the exact same amount, the fractions must be equivalent, even if the shapes are split into a different number of parts.

    Circle one:   True   False

  7. Which fraction is equivalent to 2/3?

    • 3/4
    • 2/5
    • 3/2
    • 4/6

  8. Owen says 1/2 = 1/4 because both have top 1. Is Owen right?

    Circle one:   True   False

  9. Zara shades 2 out of 3 parts in one bar and 3 out of 4 parts in another bar. She says both bars show the same amount because both have a difference of 1 between the shaded and total parts. Is she right?

    • Yes, because both fractions have a 3 in them
    • Yes, the amounts are the same
    • No, the shaded areas are different sizes

  10. Two thirds of a wall equals how many sixths of the same wall?

    Answer: ______________

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Answer key

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

Equivalent fractions W1-mt_FbDKeLfBCo-s1

  1. 2 · Cutting each half into 2 turns 1 half into 2 quarters.
  2. 2/4 · Two quarters cover exactly as much as one half.
  3. 1/2 · 2 out of 4 shaded parts is the same amount as 1 out of 2 parts, so it equals 1/2.
  4. True · Both fractions cover the same amount of the whole, so they are equivalent.
  5. 6 · Cutting each quarter into 2 turns 3 quarters into 6 eighths.
  6. True · Equivalent fractions can look different, but the shaded area always matches.
  7. 4/6 · Doubling top and bottom of 2/3 gives 4/6 with the same value.
  8. False · Owen is wrong. Quarters are smaller slices, so 1/4 covers less than 1/2.
  9. No, the shaded areas are different sizes · 2/3 and 3/4 shade different amounts of the bar. Comparing the gap of 1 does not tell you if fractions are equivalent; comparing the shaded area does.
  10. 4 · Cutting each third into 2 turns 2 thirds into 4 sixths.
Worksheet · LightMySky