Random Fraction Generator

Generate lists of random fractions with denominators teachers actually use, ready for a worksheet.

Fractions10 generated
  1. 9/2
  2. 7/2
  3. 11/16
  4. 2/8
  5. 1/2
  6. 2/4
  7. 7/3
  8. 1/5
  9. 10/9
  10. 11/6
Runs locally in your browser

About the Random Fraction Generator

Numerators here run from 1 to 11 and denominators are drawn from 2, 3, 4, 5, 6, 8, 9, 10, 12 and 16. That set is not arbitrary: those are the denominators that appear in ruler markings, recipe measures and the standard school curriculum, so the fractions convert to sensible decimals and share common factors worth cancelling. A generator that allowed denominators like 97 would produce arithmetic no worksheet wants.

Because the numerator can exceed the denominator you will see improper fractions such as 11/4, which is on purpose. Improper fractions are exactly what a mixed number exercise needs, and a run of twenty gives a class a mixture of proper, improper and reducible values in one go. Some draws land on values equal to one, like 6/6, which makes a useful discussion point about what a fraction really means.

Repeats are allowed by default because a drill benefits from the occasional recurring value, though you can switch them off for a set of distinct questions. Once you have a list, the Random Integer Generator supplies whole numbers for the mixed operations, and the Number to Words tool spells out answers for younger classes.

How to use

  1. Choose how many fractions the worksheet needs, up to two hundred at a time.
  2. Tick No repeats when every question must show a different fraction.
  3. Press Generate to fill the pane with fractions in a/b form.
  4. Copy them into your document, or download the list as a plain text file.

Common questions

Which denominators can appear?
Only 2, 3, 4, 5, 6, 8, 9, 10, 12 and 16, the denominators that show up in classroom work, rulers and recipes.
Why do I get fractions bigger than one?
Numerators go up to 11, so improper fractions like 9/4 appear on purpose for mixed number and simplification practice.
Are the fractions already simplified?
No. Values such as 4/8 are left as drawn precisely so students can reduce them.
Can I get decimals instead?
Not from this tool. Divide the results in a spreadsheet, or use a unit converter if you need the decimal equivalents.