Ratio of 2 Numbers
Free online ratio of 2 numbers calculator. Simplify ratio A:B using GCD method. Get simplified ratio and decimal value for math, finance, and everyday comparisons.
About This Calculator
The Ratio of 2 Numbers calculator simplifies any two-number ratio expressed as A:B to its lowest terms. It finds the greatest common divisor (GCD) of both numbers and divides each term by it, giving you the simplest whole-number representation of the relationship between the two values.
For example, the ratio 8:12 simplifies to 2:3 because the GCD of 8 and 12 is 4. The calculator also displays the decimal value (A divided by B), which helps you understand the proportional relationship at a glance -- in this case, 8 is two-thirds of 12, or approximately 0.6667 times.
This tool is ideal for students learning ratio and proportion in mathematics classes, professionals working with financial ratios or mixing ratios in construction and manufacturing, and anyone who needs to compare two quantities in their simplest form. The simplified ratio is always displayed with a colored highlight for easy identification.
Regional Notes
India: Used extensively in CBSE and state board mathematics curriculum for ratio and proportion problems from Class 6 onward.
United States: Common in middle school and high school mathematics, as well as in business ratio analysis and unit pricing comparisons.
United Kingdom: Featured in GCSE Mathematics ratio and proportion topics, and used in everyday contexts like recipe scaling and currency conversion.
Frequently Asked Questions
How do you calculate the ratio of two numbers?
To calculate the ratio of two numbers A and B, divide both numbers by their greatest common divisor (GCD). The simplified ratio is expressed as A÷GCD : B÷GCD. For example, 8 and 12 have a GCD of 4, so the simplified ratio is 2:3.
What does a ratio of 2 numbers mean?
A ratio of two numbers compares their relative sizes. It shows how many times one value contains or is contained within the other. For example, a ratio of 3:2 means the first number is 1.5 times the second.
Can I calculate ratios with decimal numbers?
Yes, the calculator supports decimal numbers and will simplify them by computing the GCD of the decimal values. The decimal equivalent of the ratio is also displayed.
What is the formula for ratio of two numbers?
The ratio of two numbers A and B is expressed as A:B. To simplify, divide both A and B by their GCD. The decimal value equals A divided by B. The calculator handles all these calculations instantly.
What is the GCD method for simplifying ratios?
The GCD (Greatest Common Divisor) method finds the largest number dividing both terms of a ratio. Dividing both terms by the GCD reduces the ratio to its simplest whole-number form. For example, the ratio 12:18 has a GCD of 6, so the simplified ratio is 2:3.
Can I simplify ratios with more than 2 numbers?
This calculator handles two-number ratios (A:B). For three-number ratios (A:B:C), use our separate Ratio of 3 Numbers calculator which extends the same GCD method across all three values.
How is a ratio different from a fraction?
A ratio A:B compares two quantities and can be written as the fraction A/B. While a fraction represents a part of a whole, a ratio directly compares the relative sizes of two distinct quantities. Both express proportional relationships.
Is this ratio calculator free?
Yes, all calculators on Calculy are completely free to use with no registration or hidden charges.