Ratio Calculator
Simplify ratios, solve proportions, and scale values.
Simplified Ratio
3:2
How to Simplify Ratios
Simplified = (a ÷ GCD) : (b ÷ GCD)
Common Ratio Examples
| Original | GCD | Simplified |
|---|---|---|
| 12:8 | 4 | 3:2 |
| 15:25 | 5 | 3:5 |
| 100:50 | 50 | 2:1 |
| 6:9 | 3 | 2:3 |
Frequently Asked Questions
How do I simplify a ratio?
Divide both parts by their greatest common divisor (GCD). For 12:8, GCD is 4, so the simplified ratio is 3:2.
How do I solve ratio problems?
Set up a proportion: a/b = c/d. If you know three values, solve for the fourth. For example, if 3/4 = x/20, then x = 15.
What is a ratio?
A ratio compares two quantities. 3:2 means for every 3 of the first, there are 2 of the second. Ratios can be written as 3:2, 3/2, or '3 to 2'.