Fraction Match: Simplify

Same value, different clothes. Find the equivalent fraction.

Smart Mathematician Fractions & Percentages Maths Games for Juniors (11-14) Maths Games for Teenagers

Halves & Quarters Standard Hard Simplify

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How Fraction Match: Simplify works

Every round shows a fraction and four candidates, one of which is equal to it. Equivalence is the idea that unlocks all fraction arithmetic — you cannot add thirds to quarters until you can see that both can be rewritten as twelfths.

The simplify level runs the same idea in reverse, asking for the lowest-terms form, which is where the highest common factor stops being an abstract definition and becomes a tool.

This version: Reduce to lowest terms. Your best score is saved in this browser, so you can come back and try to beat it. Nothing is uploaded and no sign-up is needed.

Frequently asked questions

Why does equivalence matter more than the arithmetic?

Because the arithmetic is mechanical once equivalence is intuitive. Almost every fraction mistake traces back to not really believing that 2/4 and 1/2 are the same number.

Are the wrong answers random?

No. They are built to look plausible — usually the right digits combined the wrong way, which is exactly the mistake the game is trying to train out.

Do I need to simplify my answer?

Only in the Simplify variant, where lowest terms is the whole task.

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