Random Fraction Generator

What it does

The Random Fraction Generator produces random fractions with denominators in a range you set. Restrict output to proper fractions (numerator smaller than denominator), choose whether to reduce to lowest terms, pick an output format, and generate up to 1,000 per run — seeded, so a worksheet regenerates exactly.

Common use cases

• Math worksheets — fraction sets for addition, comparison, and simplification practice at a controlled difficulty (presets for proper, improper, unreduced, and small-denominator sets).
• Teaching simplification — generate unreduced fractions and have students find the lowest terms; regenerate with reduction on for the answer key.
• Testing — rational-number handling in calculators, parsers, and formatting code.
• Probability examples — random fractions as probabilities for exercises.

Settings

• Min / Max denominator — the denominator range; small denominators keep problems friendly.
• Proper fractions only — numerator < denominator.
• Reduce to lowest terms — simplify (or deliberately don’t).
• Format — how fractions are written in the output.
• How many — 1 to 1,000 fractions.
• Seed — identical seed + settings = identical set.

Privacy note

Fractions are generated locally in your browser; nothing is uploaded.

FAQ

How do I build a simplification worksheet? Turn reduction off and generate the handout, then regenerate the same seed with reduction on — the outputs pair up as problems and answers.

Can I get improper fractions? Yes — leave “proper only” off and numerators may exceed denominators (there’s a preset). Useful for mixed-number conversion practice.

Are all fractions equally likely? Draws are uniform within your constraints; note that after reduction, equivalent fractions collapse (2/4 becomes 1/2), which slightly favors already-simple values — a fun discussion question in itself.