Ratio Calculator

A ratio is a comparison of two or more numbers showing their relative sizes. Written as a:b or a/b, ratios express proportional relationships. For example, a 3:2 ratio means for every 3 units of the first value, there are 2 units of the second. Ratios are used in cooking, design, finance, and many other fields.

To simplify a ratio, divide all parts by their greatest common divisor (GCD). For example, 12:8 simplifies to 3:2 by dividing both by 4. Our calculator automatically simplifies ratios to their lowest terms, making it easy to see the fundamental relationship between values.

To scale a ratio, multiply or divide all parts by the same number. For example, if a recipe uses a 2:3 ratio of flour to sugar and you want to double it, multiply both parts by 2 to get 4:6. Our calculator lets you scale ratios up or down while maintaining the same proportional relationship.

A ratio is a single comparison (like 3:4), while a proportion is an equation stating that two ratios are equal (like 3:4 = 6:8). Proportions are used to solve for unknown values in similar relationships. Our calculator helps you work with both ratios and solve proportion problems.

Cooking ratios ensure consistent results when scaling recipes. For example, a 3:2:1 ratio for cookies might mean 3 parts flour, 2 parts butter, 1 part sugar. If you use 300g flour, you'd need 200g butter and 100g sugar. Our calculator makes it easy to scale recipes while maintaining perfect proportions.

Yes, ratios can have multiple parts, like 2:3:5 or 1:2:3:4. These multi-part ratios are common in mixing paints, concrete, or complex recipes. Our calculator supports ratios with any number of parts, simplifying them and helping you scale all components proportionally.

Maintaining aspect ratio when resizing images prevents distortion. Common ratios include 16:9 (widescreen), 4:3 (standard), 1:1 (square), and 3:2 (photography). If you know one dimension, the ratio calculator helps you find the other dimension that maintains the correct proportions.

The golden ratio (approximately 1.618:1 or 1:0.618) appears in nature and is aesthetically pleasing. Used in design, architecture, and art for balanced compositions. Apply it to page layouts, image cropping, spacing elements, or any design where harmonious proportions matter.

To convert a ratio to percentages, divide each part by the sum of all parts and multiply by 100. For example, 2:3 has a sum of 5, so 2/5 = 40% and 3/5 = 60%. This helps understand what portion of the whole each part represents.