Ratio Calculator
Simplify a ratio to its lowest terms and see its decimal equivalent in one step — for recipe scaling, mixing solutions, or checking whether two quoted ratios (like 3:4 and 24:32) are actually the same proportion.
Inputs
Result
2 : 3
Decimal ratio 0.6667
How the ratio calculator works
Divide both values by their greatest common divisor to reach the simplest whole-number form of the ratio.
The decimal ratio (first value ÷ second value) gives a single comparable number — useful for checking whether two differently-written ratios are actually equal.
Worked example: 24 : 36
- GCD(24, 36) = 12.
- 24 ÷ 12 = 2, 36 ÷ 12 = 3, so the simplified ratio is 2 : 3.
- Decimal ratio = 24 ÷ 36 ≈ 0.6667, matching 2 ÷ 3 exactly — confirming the simplification is correct.
Common mistakes to avoid
Assuming a ratio and a fraction behave identically in every context
A ratio like 2:3 and the fraction 2/3 are mathematically related but describe different things — a fraction is a part of one whole, while a ratio compares two separate quantities.
Not simplifying before comparing two ratios
24:36 and 2:3 look different but are the same ratio — always reduce to lowest terms (or compare decimal equivalents) before concluding two ratios differ.
Frequently asked questions
How do I scale a ratio to a specific total, like a recipe for a different number of servings?
Divide the target total by the sum of the simplified ratio's parts, then multiply each part by that scaling factor.
Can this handle ratios with decimal inputs?
The simplification step works cleanly with whole numbers; for decimal inputs, multiply both values up to whole numbers first for the cleanest simplified result.
What does the decimal ratio actually represent?
It's simply the first value divided by the second — a single number that makes it easy to check whether two differently-written ratios are equivalent.
Is a ratio of 1:1 the same as saying two quantities are equal?
Yes exactly — a 1:1 ratio always means both quantities are the same size.
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