Ratio Calculator
Simplify ratios, find equivalent ratios, and scale ratios with multiple calculation modes.
What is a Ratio?
A ratio is a comparison between two or more numbers that shows their relative sizes. Ratios are written with a colon (:) between the numbers, such as 3:4, which means "3 to 4".
How to Simplify a Ratio
To simplify a ratio, divide both numbers by their Greatest Common Divisor (GCD). For example, the ratio 12:16 can be simplified by dividing both by 4, giving 3:4.
Ratio Calculation Modes
Simplify Ratio
Reduces a ratio to its simplest form using the GCD.
Example: 12:16 → 3:4
Find Equivalent
Finds the equivalent value when one part of the ratio changes.
Example: If 3:4 and A=6, then B=8
Scale Ratio
Multiplies both parts of the ratio by a scale factor.
Example: 3:4 × 2 = 6:8
Common Uses of Ratios
- Cooking: Recipe ingredient proportions
- Finance: Investment allocation, debt-to-income ratios
- Construction: Mixing concrete, paint, or other materials
- Maps: Scale ratios for distance
- Photography: Aspect ratios (16:9, 4:3)
- Chemistry: Chemical compound ratios
Ratio Formula
Simplified Ratio = A/GCD : B/GCD
Equivalent: If A:B = C:D, then A×D = B×C
Scale: (A×n):(B×n) where n is the scale factor