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Work with 3-part ratios (a:b:c)
Simplify three-number ratios and convert each part to fractions, decimals, and percentages of the whole.
Enter three values
Three-part ratios (a:b:c) compare three quantities. They're used in recipes, mixing solutions, color ratios, and many real-world applications where three components need to maintain specific proportions.
Cement:Sand:Gravel ratios like 1:2:4
Red:Green:Blue ratios for color mixing
Ingredient ratios like 2:3:5 cups
Find the GCD (Greatest Common Divisor) of all three numbers, then divide each number by the GCD. For example, 6:9:12 has GCD 3, so it simplifies to 2:3:4.
Not directly. To combine ratios, you need to find a common basis or convert them to fractions first. Each part must be converted independently before combining.
Add all parts to get the total, then divide each part by the total and multiply by 100. For 2:3:5, total is 10, so percentages are 20%, 30%, and 50%.
Order matters! 2:3:5 means the first quantity is smallest and third is largest. 5:3:2 is the reverse relationship. They represent different proportional relationships.
Yes! Multiply or divide all three parts by the same number. 1:2:3, 2:4:6, and 3:6:9 are all equivalent ratios representing the same relationship.
If a recipe calls for a 2:3:5 ratio of flour:sugar:milk and you want 10 cups total, divide 10 by (2+3+5)=10 to get 1 cup per part. Use 2, 3, and 5 cups respectively.
Yes, but it's complex. Simplify both ratios and compare corresponding parts. They're equivalent only if all three parts match when simplified.
Each part divided by the total. For 2:3:5, total is 10, so fractions are 2/10 (or 1/5), 3/10, and 5/10 (or 1/2). These show each part as a portion of the whole.