Equivalent fractions (age 8+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Same Amount, Different Slices

Mathematics · Fractions · ages 8-9
Name ______________________   Date ____________

  1. A pan of brownies is cut into 3 equal strips and you take 1 strip. The same pan is instead cut into 6 equal strips. How many of the 6 strips is the same amount as 1 of the 3 strips?

    • 1
    • 2
    • 3
    • 6

  2. A bar with 3 parts has 1 shaded. Which other bar shows the same amount shaded?

    • 2/6
    • 1/6
    • 3/6

  3. Which fraction is 4/8 simplified?

    • 2/8
    • 1/2
    • 1/4

  4. 1/4 and 2/8 show the same amount.

    Circle one:   True   False

  5. 2/3 = 12/?. What number goes in the blank?

    Answer: ______________

  6. Maria shaded 3 out of 9 parts of a bar. What is another way to write this fraction with smaller numbers?

    • 1/3
    • 1/9
    • 2/3

  7. Complete the chain: 1/4 = ?/8. What number goes in the blank?

    Answer: ______________

  8. 2/3 = ?/12. What number goes in the blank?

    • 6
    • 8
    • 9
    • 10

  9. Leo says 2/3 is equivalent to 4/9 because he multiplied the top by 2 and the bottom by 3. What mistake did Leo make?

    • He should have added instead of multiplied
    • 2/3 cannot have an equivalent fraction
    • He multiplied the top and bottom by different numbers

  10. Fill in the chain: 1/4 = ?/8 = ?/12. Which pair of numbers goes in the blanks?

    • 2 and 3
    • 2 and 4
    • 3 and 4
    • 4 and 6
LightMySky · lightmysky.comW1-mt_FP-mjXaq3B-s1

Answer key

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

Same Amount, Different Slices W1-mt_FP-mjXaq3B-s1

  1. 2 · Each of the 3 strips splits into 2 smaller strips, so 1 strip out of 3 is the same as 2 strips out of 6.
  2. 2/6 · 1 out of 3 parts is the same amount as 2 out of 6 parts. Doubling the parts and the shaded pieces keeps the same amount.
  3. 1/2 · 4/8 splits into 2 equal groups of 4, giving 1/2. Halving only the top number would give 2/8, which is not the same amount.
  4. True · Doubling the top and bottom of 1/4 gives 2/8, and both show the same amount.
  5. 18 · The top went from 2 to 12, which is times 6. Do the same to the bottom: 3 times 6 is 18.
  6. 1/3 · 3/9 divided by 3 on top and bottom gives 1/3, the simplest way to write the same amount.
  7. 2 · 1/4 doubled on top and bottom gives 2/8, so the blank is 2.
  8. 8 · Multiply the top and bottom of 2/3 by the same number, 4, to get 8/12.
  9. He multiplied the top and bottom by different numbers · To keep the same amount, you must multiply the top and bottom by the same number. 2/3 doubled on both is 4/6, not 4/9.
  10. 2 and 3 · First 4 times 2 is 8, so 1 times 2 is 2. Then 4 times 3 is 12, so 1 times 3 is 3.
Worksheet · LightMySky