Ratio Calculator
Simplify ratios and solve proportions.
비율 단순화
16 : 9 = 16 : 9
비례식 풀기 (A:B = C:?)
16 : 9 = 1920 : 1080
Overview
The Ratio Calculator performs ratio computations, solves for unknowns in proportions, and simplifies ratios. It is useful for scaling recipes, map scales, business allocation, and more.
Formula
Ratio = A : B = A/B Proportion: A : B = C : D → A × D = B × C (cross multiplication) Solving for unknown: A : B = C : x → x = (B × C) / A Simplifying ratio: A : B = (A/GCD) : (B/GCD)
How to Use
- 1Enter two numbers A and B to find their ratio.
- 2To solve for an unknown in a proportion, enter the three known values.
- 3For ratio simplification, enter two numbers and the result is divided by their GCD.
- 4The result is automatically displayed in the simplest whole-number ratio.
Tips
- ✔Use proportions to scale a recipe from 2 servings to 6 servings and get exact ingredient amounts.
- ✔Always compare values in the same units when calculating ratios.
- ✔Ratios with three or more terms (A : B : C) can be handled by calculating each pair individually.
FAQ
Q. Are ratio and rate the same concept?
A ratio compares two quantities of the same kind, while a rate compares quantities of different kinds (e.g., km per hour). Ratios are often expressed as A : B, while rates use fractions or decimals.
Q. Where are proportions used in real life?
Proportions are used in map scales, recipe adjustments, mixing solutions, photo resizing, currency conversion, and many other everyday and professional applications.
Q. How do you simplify a ratio?
Divide both numbers by their Greatest Common Divisor (GCD). For example, 12 : 18 has a GCD of 6, so it simplifies to 2 : 3.
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