Equivalent means same multiplier
Multiply or divide every term by the same nonzero value. The relationship stays unchanged.
Reduce ratios exactly, build equivalent ratios, solve missing values, split totals, compare relationships, and convert a two-part ratio into fractions, decimals, percentages, and part-of-total shares.
12 : 18 reduces without changing the relationship.
3:5 × 4 term-by-term
4 × 21 = 7 × 12
5 total ratio units
0.6667 vs 0.6667 as A ÷ B
Canonical reduced form
Choose the best answer.
Choose the best answer.
Multiply or divide every term by the same nonzero value. The relationship stays unchanged.
For 12:18:30, divide every term by 6. Do not simplify different pairs with different factors.
For 3:2, there are 5 total units. A total of 25 becomes 15 and 10.
3:5 means A/B = 60%, but A is 3/8 = 37.5% of the combined total.
Whole numbers, decimals, scientific notation, fractions, and mixed numbers are converted to exact rational values with JavaScript BigInt before simplification or comparison. Decimal output is only a display layer.
The simplifier and scaler accept 2–6 terms. Split mode also supports multiple non-negative ratio parts, so recipes, allocations, and multi-group splits can be handled directly.
The calculator, Daily 12, and practice run in the browser. No server account, global ranking, or public history is implied.