Random Fraction Generator
Generate random fractions for worksheets, quizzes and tests.
Random Fraction Generator
Create random fractions for math worksheets, quizzes and tests in seconds. Choose proper fractions like 2/7, improper fractions like 11/4, or a mix of both, and print them as fractions, mixed numbers or decimals. The denominator range lets you match the level of your class, from halves and quarters to denominators in the hundreds.
Settings
- Fraction type – proper (value below 1), improper (value of 1 or more) or any.
- Output format – plain fraction, mixed number (2 1/3) or decimal value.
- Denominator range – the smallest and largest denominator that can be drawn.
- Largest whole part – limits how big improper fractions get, e.g. up to 5 means values below 6.
- Simplify – reduce to lowest terms with the greatest common divisor.
- Allow negatives – give about half of the fractions a minus sign.
For teachers and students
Generating fractions by hand quickly becomes repetitive and tends to favour the same easy numbers. A random list gives every student a different set of problems: compare fractions, find common denominators, convert to decimals, add and subtract, or turn improper fractions into mixed numbers. Switch off Simplify to create reduction practice where the answer is the lowest-terms form.
For developers
Random fractions are great test data for rational number libraries, recipe scalers, music notation (time signatures and note lengths) and parsers that read inputs such as "1 1/2 cups". Download the list as a text file with one fraction per line or join it with commas.
How it works
A denominator is chosen uniformly from your range, then a numerator is chosen uniformly so that the fraction matches the selected type. All randomness comes from the browser's secure generator and no data leaves your device. For random decimal values directly, use the Random Decimal Generator.
Frequently Asked Questions
What is the difference between proper and improper fractions?
A proper fraction has a numerator smaller than its denominator, such as 3/5, so its value is below 1. An improper fraction has a numerator equal to or larger than the denominator, such as 7/4, and can also be written as the mixed number 1 3/4.
What does Simplify do?
It reduces every fraction to lowest terms by dividing numerator and denominator by their greatest common divisor, so 6/8 becomes 3/4. Turn it off to keep unsimplified fractions for reduction exercises.
Why is the denominator sometimes smaller than my minimum?
That happens only when Simplify is on: 4/8 is drawn with denominator 8 but reduces to 1/2. Turn Simplify off if every denominator must stay within your range.