Simplify a Ratio
Divide both by their greatest common divisor and nothing further cancels. 1920:1080 becomes 16:9.
Your numbers
A's share
16
B's share
9
Result
1.778×
Formula
A's share : B's share = A ÷ G : B ÷ G
Decimals are rounded to integers first. For an exact result, scale both sides by the same factor until they are whole.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| AThe first number of the ratio — the 2 in 2:3. | 1,920 | 1 and up |
| BThe second number of the ratio — the 3 in 2:3. | 1,080 | 1 and up |
Step by step
Quick reference table
Results when only A changes and everything else stays put.
| A | A's share | B's share | Result (×) |
|---|---|---|---|
| 960 | 8 | 9 | 0.889 |
| 1,440 | 4 | 3 | 1.333 |
| 1,920 | 16 | 9 | 1.778 |
| 2,880 | 8 | 3 | 2.667 |
| 3,840 | 32 | 9 | 3.556 |
What each result means
| Result | At default values |
|---|---|
| A's shareThe slice A gets once the ratio is applied. | 16 |
| B's shareThe slice B gets once the ratio is applied. | 9 |
| Result (×)What the formula gives back — the answer this page is for. | 1.778 |
Common mistakes
Decimals are rounded to integers first. For an exact result, scale both sides by the same factor until they are whole.
Glossary
- A
- The first number of the ratio — the 2 in 2:3.
- B
- The second number of the ratio — the 3 in 2:3.
- A's share
- The slice A gets once the ratio is applied.
- B's share
- The slice B gets once the ratio is applied.
- Result
- What the formula gives back — the answer this page is for.
Frequently asked questions
Q. How is Simplify a Ratio calculated?
A's share : B's share = A ÷ G : B ÷ G — Divide both by their greatest common divisor and nothing further cancels. 1920:1080 becomes 16:9.
Q. Can you walk through an example?
With A 1,920, B 1,080, the answer is A's share 16.
Q. What do I need to enter?
Enter A, B. The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only A moves the answer to A 960 → A's share 8 and A 3,840 → A's share 32. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
Decimals are rounded to integers first. For an exact result, scale both sides by the same factor until they are whole.
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