Worksheets · Algebra 1

Operations with fractions worksheet

All four operations on fractions, with answers left exact rather than as decimals. Adding needs a common denominator; multiplying and dividing do not.

Select your difficulty

Pick more than one for a sheet that mixes them.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Operations with Fractions

Date Period

Simplify.

  1. 97−32
  2. 57⋅−25
  3. −13−73
  4. 73⋅−72
  5. −78−13
  6. 73÷73
  7. −18−13
  8. 13⋅−49
  9. 15−12
  10. −23⋅34
  11. −73+52
  12. 98⋅14
  13. −72+19
  14. 14⋅−14
  15. 12+74
  16. −35⋅94
  17. −34+92
  18. −35⋅17
  19. −37+87
  20. 14÷54

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

Sigma Prep · sigmaprep.io/worksheets

Name

Operations with FractionsAnswer keyVersion 1

Date Period

Simplify.

  1. 97−32−314
  2. 57⋅−25−27
  3. −13−73−83
  4. 73⋅−72−496
  5. −78−13−2924
  6. 73÷731
  7. −18−13−1124
  8. 13⋅−49−427
  9. 15−12−310
  10. −23⋅34−12
  11. −73+5216
  12. 98⋅14932
  13. −72+19−6118
  14. 14⋅−14−116
  15. 12+7494
  16. −35⋅94−2720
  17. −34+92154
  18. −35⋅17−335
  19. −37+8757
  20. 14÷5415

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

How to do these

23+14

  1. The common denominator is 12.
  2. 8 over 12 plus 3 over 12.

The answer is 1112.

Where students go wrong

Finding a common denominator when multiplying. Multiplying goes straight across and needs nothing matched, so the extra work is wasted and often introduces a mistake.

Also called fraction arithmetic, adding fractions or dividing fractions.

What you can put on this worksheet

Adding and subtracting fractions
34+18 → 78
Multiplying and dividing fractions
34⋅18 → 332

Questions about these worksheets

Yes. Every operations with 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.

Algebra 1 is usually taken around 8th or 9th 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 operations with 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 two 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: adding and subtracting fractions and multiplying and dividing fractions. Tick as many as you want and set how many of each, or let it spread them evenly.

Finding a common denominator when multiplying. Multiplying goes straight across and needs nothing matched, so the extra work is wasted and often introduces a mistake.