Ratio Calculator
Simplify a two-part ratio and convert each part into a share of the whole.
Result
Simplified ratio: 3:4
Both terms are divided by their greatest common factor.
- First share of total
- 42.86%
- Second share of total
- 57.14%
- First per one second
- 0.75
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How to use the Ratio Calculator
- Enter the two positive whole-number terms in their original order.
- Use the simplified ratio for part-to-part comparison.
- Use the percentage shares when the two terms make up one whole.
One relationship, several useful forms
A ratio compares quantities in order. Dividing both terms by their greatest common factor produces the smallest equivalent whole-number pair.
simplified terms = a ÷ gcd(a,b) : b ÷ gcd(a,b)first share = a ÷ (a + b)Ratios may be part-to-part or part-to-whole; do not interpret the percentage shares as meaningful unless the entered terms together form the relevant whole.
With your numbers
- Greatest common factor = 14.
- Simplified ratio = 3:4; first share = 42.8571%.
Quick reference
Both terms are divided by their greatest common factor.
| Example | Simplified ratio |
|---|---|
| 42 to 56 | 3:4 |
| 2 to 3 | 2:3 |
| 100 to 25 | 4:1 |
| 16 to 9 | 16:9 |
| 48 to 180 | 4:15 |
| 7 to 7 | 1:1 |
Common questions about the Ratio Calculator
- How is a ratio simplified?
- Both terms are divided by their greatest common factor.
- Does order matter?
- Yes. A ratio of 3:4 is not the same comparison as 4:3.
- Why do the shares add to 100%?
- Each term is divided by the sum of both terms, so together they represent the full two-part total.
- What is the unit rate?
- It divides the first term by the second and states how much first term corresponds to one second term.