Ratio Simplifier
Simplify ratios to lowest terms, scale to a target, and find equivalent ratios
Enter Your Ratio
Equivalent Ratios
What Is the Ratio Simplifier?
The Ratio Simplifier is a free online tool that reduces any ratio to its simplest form by dividing all terms by their greatest common divisor — instantly, with no signup required. It supports both two-part ratios (like 12:18) and three-part ratios (like 6:9:12). Beyond simplification, you can scale a ratio so that a specific term equals a target value, and browse a list of equivalent ratios. This browser-based calculator is useful for cooking recipe adjustments, map scales, mixing proportions, and any situation where you need to work with proportional relationships.
How to Use
- Enter your ratio by typing values into the A and B input fields.
- Enable 3-part mode by checking the checkbox if you need to simplify a ratio like A:B:C.
- View the simplified ratio and GCD in the results cards below. The equivalent ratios list shows other ratios with the same proportion.
- Scale your ratio by selecting which term to target and entering the desired value. For example, scale 2:3 so the first term equals 10 to get 10:15.
Ratio vs. Fraction
How Are Ratios Different from Fractions?
A fraction represents a part of a whole (like 3/4 of a pizza), while a ratio compares two or more quantities to each other (like 3 cups flour to 2 cups sugar). The fraction 3/4 means 3 out of 4 equal parts. The ratio 3:2 means for every 3 of one thing, there are 2 of another. A two-part ratio A:B can be expressed as the fraction A/B, but they carry different meaning. Ratios can also have three or more parts (like 1:2:3), which fractions cannot directly represent.
When to Use Ratios
Use ratios when comparing quantities: mixing paint colors (red to blue = 3:1), recipe scaling (flour to sugar to butter = 4:2:1), map distances (1 cm : 50 km), or odds in probability (3:2 in favor). Ratios maintain the proportional relationship between values regardless of the actual amounts.
When Should You Use This Tool?
Use this free ratio simplifier whenever you need to reduce a ratio to its lowest terms, scale a recipe or mixture to a different quantity, or find equivalent ratios for comparison. It is ideal for cooking and baking, science experiments with mixing proportions, map and model scaling, probability and odds calculations, and math homework involving proportional reasoning — all free, online, and instant.
Example Usage
Suppose a pancake recipe calls for flour, sugar, and milk in a 6:2:4 ratio and you want to simplify it. Enable 3-part mode and enter 6, 2, and 4. The tool instantly shows the simplified ratio is 3:1:2 (GCD = 2). If you need 9 cups of flour, use the scale feature: select "1st term" and enter 9. The tool scales to 9:3:6, telling you to use 9 cups flour, 3 cups sugar, and 6 cups milk.
Common Use Cases
- Scaling recipes up or down while maintaining correct proportions
- Simplifying ratios for math homework and test preparation
- Calculating mixing proportions for paint, concrete, or chemical solutions
- Converting map or model scales to real-world distances
- Finding equivalent ratios for proportion and cross-multiplication problems
- Expressing probability odds in their simplest form
FAQ
How does simplification work for 3-part ratios?
The tool finds the greatest common divisor of all three terms and divides each term by it. For example, 6:9:12 has a GCD of 3, so it simplifies to 2:3:4.
Can I enter decimal values in the ratio?
Yes. If you enter 1.5:2.5, the tool first multiplies all terms by the smallest factor needed to make them whole numbers (giving 3:5), then simplifies if possible.
What does scaling a ratio mean?
Scaling adjusts all terms proportionally so that one specific term equals your target value. If the simplified ratio is 2:3 and you want the first term to equal 10, the tool multiplies both terms by 5 to get 10:15.
What if I enter zero for one of the terms?
A ratio with a zero term is valid (like 0:5 simplifies to 0:1). However, you cannot scale a ratio by a term that is zero, since that would require division by zero.
How many equivalent ratios are shown?
The tool displays the first six equivalent ratios by multiplying the simplified ratio by 1 through 6, giving you a quick reference of proportional values.