Fraction Addition & Subtraction
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Pick a level to start playing. You can switch at any time.
Simplify the ratio, or work out the missing term, then tap the correct answer.
Tip: your progress and best score are saved in this browser only.
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MathA ratio compares two quantities by division, and unlike a fraction it keeps both sides visible: 3:2 means three parts of something for every two parts of something else. This game trains the two operations that matter. The first is simplifying — dividing both sides by their greatest common factor, exactly as you would reduce a fraction. The second is finding a missing term — using the scale factor between one side of the ratio and the other.
Ratios show up whenever something is shared, mixed, or scaled: a recipe, a map, a screen aspect, a concrete mix. Being able to move between 12:8 and 3:2 without thinking is the difference between struggling with proportion questions and dispatching them.
One problem at a time, four choices, a countdown. A correct answer scores points and moves on; a wrong answer reveals the correct one. Your score and best score stay in this browser only.
Easy asks you to simplify. Medium and hard mix in missing-term problems, where you are given 2:3 = 8:? and must supply the fourth number. Pick a level on the start screen and switch at any time.
For simplifying, hunt the greatest common factor. Divide both sides by the largest number that goes into both. If both sides are even, start with 2 and repeat — halving twice is often faster than spotting the factor in one go.
For a missing term, find the scale factor first. In 2:3 = 8:?, the left side went from 2 to 8, so everything multiplied by 4. The right side must also multiply by 4, giving 12. Do not cross-multiply until you have checked whether the scale factor is a whole number — it always is here.
Sanity-check the direction. If the first side grew, the second side must grow too. An answer that moves the opposite way has the ratio upside down.
Mistake: simplifying only one side. 12:8 becoming 6:8 or 12:4 is the single most common error. The fix is to say out loud that whatever you divide one side by, you divide the other by too.
Mistake: stopping early. 12:8 reduces to 6:4, which still reduces to 3:2. The fix is to check once more whether the two sides share any factor after your first division.
Mistake: confusing the two sides. 3:2 and 2:3 are different ratios. The fix is to read which quantity was mentioned first in the problem.
Do I need to install anything? No. It runs in any modern browser.
Is a ratio the same as a fraction? Closely related, and the simplification is identical, but a ratio keeps both parts rather than collapsing them into one value.
What age is it for? Roughly grades 5 through 9, or any adult refreshing proportion work.