Random Fraction Range Generator

Generates a random fraction with the numerator and denominator each independently drawn from 1 to 20 and shown exactly as drawn, not simplified — so improper fractions and fractions that still reduce both come up — for fraction-recognition practice, simplification exercises and test cases that need an exact rational rather than a rounded decimal.

Your result will appear here.

What this generator does

Produces a fraction with both parts between 1 and 20, for maths practice and for test cases that need an exact rational rather than a rounded decimal.

How to use this tool

Press generate for a random fraction.

Worked examples

Format: 19/17, 9/13 and 11/5 — three consecutive draws, two of them improper

Common use cases

Fraction-recognition practice
Placeholder fraction data
Quick maths worksheets

How this generator works

A numerator and a denominator are each drawn from 1 to 20, independently, and written as numerator/denominator. Nothing is simplified and nothing is converted: 12/18 stays 12/18, which is what leaves a learner something to do. Because the two draws are independent, the numerator is the larger of the two in just under half of all results, and the two are equal one time in twenty.

Limitations and good to know

Only the fraction is shown — no decimal value and no lowest-terms form. Simplifying it or converting it is the exercise, not something the page does for you.
Both parts stay between 1 and 20 and there is no control for a different range, so the denominator is never zero.
Fractions are drawn as pairs, so the values are not uniformly spread along the number line — small denominators cluster the results around simple quantities.