Ratio of 2 Numbers Calculator

A ratio compares two quantities by division, typically expressed as A : B or as a fraction A / B. To simplify a ratio, the calculator first determines the Greatest Common Factor (GCF) of both numbers using Euclidean algorithms. It then divides each number by this GCF to yield the lowest reduced form. For instance, given two numbers, A and B, the reduced ratio components are computed as A_reduced = A / GCF(A,B) and B_reduced = B / GCF(A,B). Furthermore, the tool calculates unit rates (such as A to 1 or 1 to B) by dividing both terms by one of the numbers, and supports proportional enlargement or reduction using custom multiplier factors.

Let us walk through simplifying the ratio of two numbers: 24 and 36. First, identify our inputs as A = 24 and B = 36. Step 1: Find the Greatest Common Factor (GCF) of 24 and 36, which is 12. Step 2: Divide both numbers by their GCF to reduce the ratio. For the first number, 24 / 12 = 2. For the second number, 36 / 12 = 3. Thus, the simplified ratio is 2 : 3. Step 3: To find the unit rate representing how many units of B correspond to a single unit of A, we compute B / A, which gives 36 / 24 = 1.5. This means for every 1 unit of A, there are 1.5 units of B.

When working with ratios, always ensure your numbers are in the same unit of measurement before calculating (for example, converting meters to centimeters). To check your simplified ratio, cross-multiply the original values with the reduced values; the products must be equal. Finally, when scaling ratios up or down, remember to multiply or divide every component in the ratio by the exact same scalar factor to maintain mathematical proportionality.