Worksheets · Pre-Algebra

Simplifying and equivalent fractions worksheet

Divide top and bottom by the same number until nothing else divides both. The greatest common factor gets there in one step; any common factor gets there eventually. Equivalent fractions run the same idea backwards, and a mixed number is an improper fraction with the whole part pulled out.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Simplifying Fractions

Date Period

Simplify, or find the missing number.

  1. 10110
  2. 1112=66
  3. 60144
  4. 511=55
  5. 999
  6. 110=6
  7. 6488
  8. 512=40
  9. 4970
  10. 712=60
  11. 44121
  12. 1112=77
  13. 7784
  14. 1011=77
  15. 1899
  16. 611=30
  17. 36120
  18. 611=66
  19. 880
  20. 311=88

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Simplifying FractionsAnswer keyVersion 1

Date Period

Simplify, or find the missing number.

  1. 10110111
  2. 1112=6672
  3. 60144512
  4. 511=5525
  5. 999111
  6. 110=660
  7. 6488811
  8. 512=4096
  9. 4970710
  10. 712=6035
  11. 44121411
  12. 1112=7784
  13. 77841112
  14. 1011=7770
  15. 1899211
  16. 611=3055
  17. 36120310
  18. 611=6636
  19. 880110
  20. 311=8824

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

2436

  1. 12 divides both.
  2. 24 over 12 is 2; 36 over 12 is 3.

The answer is 23.

Where students go wrong

Stopping early. 24/36 becomes 12/18 after dividing by 2, and that is not finished. Check that nothing divides both numbers before writing the answer down.

Also called reducing fractions, lowest terms, equivalent fractions or improper fractions to mixed numbers.

What you can put on this worksheet

Reduce to lowest terms
428 17
The missing number in an equivalent pair
17=21 3

Questions about these worksheets

Yes. Every simplifying and equivalent fractions sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the simplifying and equivalent fractions questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: reduce to lowest terms and the missing number in an equivalent pair. Tick as many as you want and set how many of each, or let it spread them evenly.

Stopping early. 24/36 becomes 12/18 after dividing by 2, and that is not finished. Check that nothing divides both numbers before writing the answer down.