Fraction worksheets

Pick a skill and a difficulty, and print. The answers are computed by the same exact engine as the rest of this site, so the key cannot be wrong — and every sheet carries a seed in its address, so the same link reprints the identical questions whenever you need them again.

Level
Problems

Adding fractions

Add. Give each answer in its lowest terms.

  1. 1/4 + 2/7
  2. 5/7 + 5/7
  3. 1/4 + 1/4
  4. 4/9 + 2/3
  5. 1/6 + 4/5
  6. 2/9 + 1/2
  7. 3/5 + 3/4
  8. 6/7 + 5/9
  9. 4/9 + 5/6
  10. 3/4 + 1/4
  11. 4/5 + 1/3
  12. 6/7 + 1/3
  13. 3/5 + 5/8
  14. 5/7 + 4/5
  15. 5/7 + 1/4
  16. 2/3 + 1/2
  17. 2/3 + 5/9
  18. 3/4 + 7/10
  19. 1/3 + 5/12
  20. 3/8 + 1/2

Answer key

Adding fractions · sheet 1 — the seed in the address bar. The same link reprints these exact questions.

  1. 1/4 + 2/7 = 15/28 common denominator 28
  2. 5/7 + 5/7 = 10/7
  3. 1/4 + 1/4 = 1/2
  4. 4/9 + 2/3 = 10/9 common denominator 9
  5. 1/6 + 4/5 = 29/30 common denominator 30
  6. 2/9 + 1/2 = 13/18 common denominator 18
  7. 3/5 + 3/4 = 27/20 common denominator 20
  8. 6/7 + 5/9 = 89/63 common denominator 63
  9. 4/9 + 5/6 = 23/18 common denominator 18
  10. 3/4 + 1/4 = 1
  11. 4/5 + 1/3 = 17/15 common denominator 15
  12. 6/7 + 1/3 = 25/21 common denominator 21
  13. 3/5 + 5/8 = 49/40 common denominator 40
  14. 5/7 + 4/5 = 53/35 common denominator 35
  15. 5/7 + 1/4 = 27/28 common denominator 28
  16. 2/3 + 1/2 = 7/6 common denominator 6
  17. 2/3 + 5/9 = 11/9 common denominator 9
  18. 3/4 + 7/10 = 29/20 common denominator 20
  19. 1/3 + 5/12 = 3/4 common denominator 12
  20. 3/8 + 1/2 = 7/8 common denominator 8

Common questions

Are the answers checked?
They are computed, not written. Every answer comes from the same exact rational engine the rest of this site runs on, and the test suite re-solves every question on a generated sheet and compares. An answer key from here cannot disagree with its own questions.
How do I print the sheet without the answers?
Use the “Print worksheet” button — the answer key is left off the page. “Print answer key” prints the key on its own, with each question restated so it can be marked from.
Can I get the same sheet again later?
Yes. Every sheet has a seed, and the seed is in the page address. Bookmark or share the link and it will always rebuild the identical questions, in the identical order — so you can hand out a sheet today and reprint it next term.
What is the difference between the difficulty levels?
Easy uses denominators up to 10 and keeps adding and subtracting on like denominators. Medium goes to twelfths and mixes denominators, so a common denominator has to be found. Hard adds elevenths, twelfths and sixteenths and larger whole parts.

More to print

Where this comes from. Exact rational arithmetic on the values shown — fractions are pairs of integers until display, and inch–metric conversion uses 25.4 mm to the inch, exact by definition since 1959. Which questions appear is a seeded shuffle; every answer is exact rational arithmetic, and the test suite re-solves each generated sheet to prove it. See the full methodology.