Ratio Calculator
Simplify, solve, split, scale and compare ratios in seconds.
Recent calculations
- Nothing yet. Your results will appear here.
Tips and suggestions
- Match your units. Convert 2 hours and 90 minutes to minutes (120 : 90) before comparing.
- Order matters. 3 : 5 is not 5 : 3. Keep the same order on both sides of a proportion.
- Cross-check. A : B = C : D holds when A × D equals B × C.
- Recipes and mixes. Use Scale to resize ingredients, or Split to divide paint, concrete or fertilizer.
- Money and teams. A 2 : 3 : 5 profit split gives 20%, 30% and 50% of the total.
- Screens and images. Use Aspect to resize a photo or video without stretching it.
- Design. The golden ratio (about 1 : 1.618) works well for layouts, logos and typography.
- Ratios need positive numbers. Zero cannot be used when dividing.
For general guidance only. Double-check critical results for medical, engineering or financial use.
Free Ratio Calculator: Simplify, Solve, Split and Scale Ratios Online
A ratio calculator saves you from long division, guesswork, and cross-multiplication errors. Whether you are scaling a recipe, dividing profit between partners, or resizing an image without stretching it, this tool gives you the answer in seconds. Enter your numbers, press a button, and get the result with clear steps.
Our online ratio calculator combines seven tools in one page. It works on phones, tablets, and desktops, and supports both whole numbers and decimals.
What Is a Ratio?
A ratio compares two or more quantities of the same kind. If a class has 12 boys and 18 girls, the ratio of boys to girls is 12 : 18. Dividing both numbers by their greatest common divisor (6) simplifies it to 2 : 3.
Ratios appear in cooking, finance, construction, design, photography, science and everyday shopping. Understanding them helps you compare values fairly and scale things up or down correctly.
Why Use an Online Ratio Calculator?
Working ratios by hand is easy for small numbers and frustrating for large or decimal ones. A ratio calculator helps you:
- Avoid arithmetic mistakes
- Save time on repeated calculations
- See the steps behind each answer
- Check homework or work results quickly
- Handle decimals such as 1.5 : 4.5 without effort
Key Features of Our Ratio Calculator
Simplify Ratios
Enter two to four terms and the tool reduces them to the simplest form. It also shows the greatest common divisor, the fraction, the decimal value, percentage shares and a table of equivalent ratios. For example, 12 : 18 : 30 becomes 2 : 3 : 5.
Find the Missing Value
Solve proportions such as A : B = C : D. Fill in any three boxes and leave one empty. The calculator applies cross-multiplication and shows the working. This is useful for maps, scale models and unit pricing.
Split a Total by Ratio
Divide any amount by a ratio like 2 : 3 : 5. You get each person’s amount, their percentage share and a colour bar for a quick visual check. It suits profit sharing, inheritance planning, budgets and group expenses.
Compare Ratios
Check whether two ratios are equal and see which one is larger. The tool shows simplified forms, decimal values and cross products, so you can verify the result yourself.
Aspect Ratio Calculator
Enter a width and height to find the aspect ratio, such as 1920 × 1080 = 16 : 9. Then enter a new width or height to get the matching size. Preset buttons cover 16:9, 4:3, 1:1, 21:9, 3:2 and 9:16, and a live preview shows the shape. Designers, video editors and web developers will find this especially handy.
Scale Ratios
Multiply or divide every part of a ratio by a factor. It is ideal for doubling a recipe or shrinking a mix. The tool also converts ratios into 1 : n and n : 1 forms.
Golden Ratio Calculator
Enter one length and the tool returns the other parts using the golden ratio, about 1 : 1.618. It is popular in layout design, logos, typography and art.
How to Use the Ratio Calculator
- Choose the tab that matches your task, such as Simplify or Split total.
- Type your numbers into the boxes.
- Click the main button or press Enter.
- Read the result and the step-by-step explanation.
- Press Copy result to paste it into a document or message.
Your last eight calculations appear under the tool, and you can click one to return to its tab. Use Reset to clear a tab and start again.
Real-Life Examples
Cooking: A pancake recipe uses flour and milk in a 2 : 3 ratio. To use 500 ml of milk, enter the ratio in the Missing value tab and you will find you need about 333 g of flour.
Business: Three partners agree to share a 90,000 profit in the ratio 2 : 3 : 5. The Split tab shows 18,000, 27,000 and 45,000.
Photography: You have a 4000 × 3000 photo and need a width of 1200 pixels. The Aspect ratio tab gives a height of 900 pixels, keeping the 4 : 3 shape.
Construction: A concrete mix of 1 : 2 : 4 (cement, sand, gravel) can be scaled for any batch size using the Scale tab.
Tips for Accurate Results
- Use the same units. Convert hours and minutes to the same unit before comparing.
- Keep the order consistent. A ratio of 3 : 5 is not the same as 5 : 3.
- Use positive numbers. Zero cannot be used when dividing.
- Simplify first. Smaller numbers are easier to check mentally.
- Verify with cross-multiplication. A : B = C : D is true when A × D equals B × C.
Conclusion
A reliable ratio calculator turns a tedious task into a few clicks. With tools to simplify, solve, split, compare, resize, scale, and apply the golden ratio, this page covers almost every ratio problem you may meet. Try it now, bookmark the page, and share it with students, colleagues, and friends who work with numbers.
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Frequently Asked Questions
How do I simplify a ratio?
Find the greatest common divisor of all terms and divide each term by it. The calculator does this automatically, including for decimals.
Can I use decimals in the ratio calculator?
Yes. The tool converts decimals to whole numbers internally, simplifies them, and shows the result.
What is the difference between a ratio and a proportion?
A ratio compares quantities. A proportion states that two ratios are equal, such as 2 : 3 = 4 : 6.
How do I calculate an aspect ratio?
Divide the width and height by their greatest common divisor. For 1920 × 1080, the result is 16 : 9.
What is the golden ratio?
It is a proportion of about 1 : 1.618, found in art, architecture and nature. Designers use it to create balanced layouts.
Does the calculator work on mobile?
Yes. The layout adjusts to any screen size and supports light and dark modes.
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