A ratio compares two or more quantities. To simplify a ratio, divide all parts by their Greatest Common Divisor (GCD). Example: 12:8 simplifies to 3:2 (dividing both by 4). To find a missing value in a proportion: if 3:5 = x:20, then x = 3 x 20 / 5 = 12. Ratios are used in cooking, maps, scale models, and business.
📐 Math
🔢 Ratio Calculator
Simplify ratios, solve proportions, and scale ratios up or down. Perfect for cooking recipes, maps, scale models, business analysis, and school maths!
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🤔 How Does This Work?
Our Ratio Calculator handles three types of calculations:
Simplify: Finds GCD of both numbers and divides to reduce to simplest form. Example: 24:16 GCD=8, result=3:2.
Proportion solving: Uses cross-multiplication. If A:B = C:D, then the missing value = (known value on same side) x (opposite known value) / (other opposite known value).
Scaling: Multiplies both parts of the ratio by the scale factor. Example: 3:4 scaled by 5 = 15:20.
✅ Trusted Tool
The 365tool.net Ratio Calculator uses standard GCD algorithm and cross-multiplication for proportion solving. Free for students, teachers, cooks, architects, and business analysts worldwide.
❓ FAQ
What is a ratio in simple terms?▼
A ratio compares two quantities. 3:2 means for every 3 of the first thing, there are 2 of the second. Example: a recipe for 3 cups of flour and 2 cups of sugar has a flour:sugar ratio of 3:2.
How do I simplify a ratio?▼
Divide both numbers by their Greatest Common Divisor (GCD). Example: 15:10. GCD of 15 and 10 = 5. So 15:10 = 3:2. Our calculator does this automatically!
What is a proportion?▼
A proportion says two ratios are equal. Example: 1:2 = 5:10. If you know three of the four numbers, you can find the missing one. Cross-multiply: if A:B = C:D, then A x D = B x C.
How do ratios help in cooking?▼
Ratios let you scale recipes up or down. If a recipe for 4 people uses flour:sugar in ratio 3:1, you use the same ratio for any number of people. For 10 people: multiply both by 10/4 = 2.5, giving ratio 7.5:2.5.
What is the ratio of 1:4 as a percentage?▼
In a 1:4 ratio, the total parts = 1+4 = 5. The first is 1/5 = 20% and the second is 4/5 = 80%. Ratios can always be converted to percentages by dividing each part by the total.