Simplify a ratio to its smallest whole numbers, including ratios with decimals or a zero part, and check equivalent ratios.
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16 : 24 simplifies to 2 : 3, and screen dimensions of 1920 : 1080 reduce to 16 : 9. Decimal values are scaled first, so 1.5 : 2.25 also becomes 2 : 3, while 0 : 5 simplifies to 0 : 1.
If either value has decimals, both are multiplied by the same power of ten until they are whole numbers, up to eight decimal places. The two whole numbers are then divided by their greatest common divisor: 16 and 24 share a divisor of 8, which leaves 2 : 3. A ratio of 0 : 0 has no meaning and is rejected.
The order matters, because 2 : 3 and 3 : 2 describe different mixtures, so keep the first quantity first. A rounded decimal is used exactly as typed, so 0.333 : 1 becomes 333 : 1000 rather than 1 : 3. Enter the exact values, or the original measurements, when you know them.
Enter the two quantities in the order you want to compare them. 16 : 24 reduces to 2 : 3 because both numbers share a greatest common divisor of 8. Screen dimensions of 1920 by 1080 pixels reduce to 16 : 9, the familiar widescreen aspect ratio. The order matters: 3 : 2 describes the same pair reversed, so keep the first value as the first item in your sentence, such as flour to water or width to height.
When either value has decimals, both are multiplied by the same power of ten until they are whole numbers, then divided by their common divisor. 1.5 : 2.25 becomes 150 : 225 and then 2 : 3. A rounded decimal is treated exactly as typed, so 0.333 : 1 becomes 333 : 1000 rather than 1 : 3. If you mean one third, enter 1 : 3 directly, or enter the more precise original measurements instead of a rounded value.
One side may be zero: 0 : 5 simplifies to 0 : 1, which means none of the first item for every unit of the second. A ratio of 0 : 0 has no meaning and is rejected. To scale a simplified ratio to a real batch, multiply both parts by the same number: 2 : 3 becomes 400 g : 600 g when each part is 200 g. The tool compares two quantities only; split a three-part mixture into pairs, or add the parts together to find each share of the whole.
| Input | Result |
|---|---|
16 : 24 | 2 : 3 |
1920 : 1080 | 16 : 9 |
1.5 : 2.25 | 2 : 3 |
0.333 : 1 | 333 : 1000 |
0 : 5 | 0 : 1 |
Yes. Multiplying or dividing both sides by the same non-zero number gives an equivalent ratio, and both reduce to 2 : 3. That is also why 16 : 24 and 1.5 : 2.25 give the same simplified result: each pair keeps the same relationship between the two quantities.
Multiply both parts of the simplified ratio by the same number. With 2 : 3 and 200 g for each part, the batch is 400 g : 600 g. To turn the ratio into shares of a total, add the parts together: 2 : 3 has 5 parts, so the first quantity is two fifths of the whole.
One side may be zero: 0 : 5 becomes 0 : 1, meaning none of the first item for each unit of the second. Both sides being zero is rejected. The tool compares two quantities at a time, so simplify a three-part mixture in pairs, or divide each part by the total to get percentages.