Fraction Question Generator

Builds a sheet of fraction questions at the level you ask for. Every answer is given in its lowest terms and checked to be so, and a fraction of an amount always comes out whole.

How many questions

Between 1 and 30. The sheet below shows how many pages they take.

Level

Seed (optional)

A word reproduces the same sheet, so a whole class can be given the identical set.

Gentle finds a fraction of an amount and simplifies. Standard adds adding with the same denominator; stretch adds different denominators and multiplying.

Paper size

Print size

Margin

Millimetres of blank edge, 5 to 40.

Turn the paper sideways

Room to answer in

How to print this, or save it as a PDF

There is no PDF to download, and there does not need to be. Open the print command in your browser and choose “Save as PDF” as the destination. The page addresses and dates a browser normally prints across the top and bottom are already kept off.
Set the scale to 100%, not “fit to page”. This sheet is already the exact size of the paper you chose, so anything that resizes it makes every measurement on it wrong.
Leave the paper size in the dialog set to the same one you chose here.

Your questions will appear here.

What this generator does

Builds a sheet of up to thirty fraction questions at one of three levels — a fraction of an amount, simplifying, adding with the same or a different denominator, and multiplying — with the answers and the worked common denominators revealed separately, so the sheet can be printed first and marked after. Addition questions are constructed with denominators chosen to have a workable common multiple, because a pair drawn at random produces denominators like 47 and 53 most of the time — arithmetically valid and useless for practice.

How to use this tool

Choose a level and how many questions you want.
Press make questions and work through the sheet.
Show the answers to mark it, or show the working to see the common denominator each sum uses.
Enter a seed word to rebuild the same sheet later.

Worked examples

Simplifying: 6/8 simplifies to 3/4 — both drawn so a common factor exists, and the answer is checked to be in lowest terms.
Adding with different denominators: 1/4 + 1/6 = 5/12 — the working rewrites both over 24, the product of the two denominators, and cancels 10/24 down.
A fraction of an amount: 3/5 of 40 = 24 — the amount is chosen so the division always comes out whole.

Common use cases

Fraction practice at home or school
Quick maths warm-ups
Self-testing before a maths quiz

Randomness and fairness

Numerators and denominators are drawn with the browser's cryptographic random number generator, then constrained so that every answer is exact: a fraction of an amount always divides, and a sum is always cancelled down before it is shown. A seed word rebuilds the same sheet later while the generator is unchanged; the word is for reproducibility, not cryptographic strength, so a seeded sheet is deterministic rather than unpredictable.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

Covers four operations only — a fraction of an amount, simplifying, adding with the same or a different denominator, and multiplying. Subtracting or dividing one fraction by another is never asked.
Every fraction in a question is proper. A stretch addition can still total more than one, and the answer is then left as an improper fraction, never a mixed number.

Practical tips

Have students state the common denominator before adding anything. Most fraction errors happen at that step, and they are invisible once the addition is written down.