Adding fractions (different denominators) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Adding fractions with different denominators

Mathematics · Fractions · ages 9-10
Name ______________________   Date ____________

  1. Add 1/4 + 1/8 using eighths. What is the numerator before simplifying?

    Answer: ______________

  2. What is 1/2 + 1/8?

    • 2/10
    • 5/8
    • 4/8
    • 1/8

  3. Which fraction equals 1/3, written in sixths?

    • 1/6
    • 2/6
    • 3/6

  4. 3/4 is the same amount as 6/8.

    Circle one:   True   False

  5. Add 3/5 + 1/10. How many tenths are in the total before simplifying?

    Answer: ______________

  6. What is 2/5 + 3/10?

    • 5/15
    • 7/10
    • 1/2

  7. What is 5/6 - 1/3?

    • 4/3
    • 4/6
    • 1/2
    • 2/3

  8. For 1/2 + 3/10, you can use tenths without changing either numerator.

    Circle one:   True   False

  9. A ribbon is 7/8 meter long. Ava cuts off 1/4 meter, then 1/8 meter. What length remains?

    • 1/2 meter
    • 5/8 meter
    • 3/8 meter
    • 3/4 meter

  10. Max writes 1/4 + 3/8 = 4/12. What did he do?

    • He subtracted the top numbers.
    • He multiplied the bottom numbers.
    • He added the top and bottom numbers.
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Answer key

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

Adding fractions with different denominators W1-mt_-V7EnqU7gG-s1

  1. 3 · 1/4 = 2/8. Two eighths and one eighth make three eighths.
  2. 5/8 · 1/2 = 4/8, so 4/8 + 1/8 = 5/8.
  3. 2/6 · Multiply the top and bottom of 1/3 by 2 to get 2/6.
  4. True · Multiply the top and bottom of 3/4 by 2 to get 6/8, an equivalent fraction.
  5. 7 · 3/5 = 6/10. Six tenths and one tenth make seven tenths.
  6. 7/10 · 2/5 = 4/10, and 4/10 + 3/10 = 7/10, which is already in simplest form.
  7. 1/2 · 1/3 = 2/6. The remainder 3/6 simplifies to 1/2.
  8. False · Changing 1/2 to tenths also changes its numerator to 5.
  9. 1/2 meter · The cuts remove two eighths and one eighth. Four eighths remain, or 1/2 meter.
  10. He added the top and bottom numbers. · He used 1 + 3 = 4 and 4 + 8 = 12. Matching eighths instead give 2/8 + 3/8 = 5/8.
Worksheet · LightMySky