Ratio Calculator
Calculate the ratio between two quantities, simplify it to lowest terms, and convert to other representations.
Ratio A:B (as decimal)
0.750000
Ratio A:B (as decimal) vs Quantity A
Formule
## How to Calculate a Ratio ### Formula **Ratio A:B = A / B** A ratio compares two quantities by division. The ratio 150:200 simplifies to 3:4 (divide both by 50). Ratios can be expressed as fractions (3/4), decimals (0.75), or percentages. To convert a ratio to parts of a whole, divide each part by the sum.
Exemple Résolu
Compare 150 to 200.
- 01Ratio A:B = 150/200 = 0.75 or 3:4
- 02Ratio B:A = 200/150 = 1.3333 or 4:3
- 03A as fraction of total = 150/(150+200) = 150/350 = 42.86%
- 04B as fraction of total = 200/350 = 57.14%
Questions Fréquentes
How do I simplify a ratio to whole numbers?
Divide both quantities by their greatest common divisor (GCD). For 150:200, GCD is 50, giving 3:4. For decimals, first multiply to get whole numbers, then simplify.
What is the difference between ratio and rate?
A ratio compares quantities of the same kind (apples to oranges). A rate compares quantities of different kinds (miles per hour, cost per unit). Rates have units; ratios are dimensionless.
Can ratios involve more than two quantities?
Yes. A ratio like 2:3:5 compares three quantities. To find each part, divide each number by the sum (2+3+5=10) and multiply by the total amount.
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