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Generate equivalent ratios
Find equivalent ratios by multiplying all parts by the same factor. Generate multiple equivalent ratios.
Enter a ratio to find equivalents
Find the GCD and simplify the ratio to its lowest terms. This is your base ratio.
Multiply each part of the simplified ratio by the same number (2, 3, 4, etc.).
Each result is an equivalent ratio representing the same relationship.
Equivalent ratios are ratios that represent the same relationship between quantities. They're created by multiplying or dividing all parts of a ratio by the same number. For example, 2:3, 4:6, and 8:12 are all equivalent.
To find equivalent ratios, multiply (or divide) all parts of the ratio by the same non-zero number. For 2:3, multiply by 2 to get 4:6, by 3 to get 6:9, and so on.
Equivalent ratios are used in scaling recipes, reading maps, unit conversions, solving proportions, and many real-world situations where you need to maintain the same relative relationship while changing the quantities.
Two ratios are equivalent if they simplify to the same ratio. Alternatively, you can cross-multiply: a:b equals c:d if a×d = b×c. For example, 2:3 and 8:12 are equivalent because 2×12 = 3×8 = 24.
Yes! For any ratio, you can create infinite equivalent ratios by multiplying all parts by any positive number. However, only one represents the simplified form.
The simplest equivalent ratio is the one where all parts have no common factors other than 1 (the GCD is 1). For example, 2:3 is simpler than 4:6 or 8:12.
Absolutely! You can find equivalent ratios for any number of parts. For 1:2:3, equivalent ratios include 2:4:6, 3:6:9, etc. Multiply all parts by the same factor.
When scaling recipes up or down, you use equivalent ratios. If a recipe calls for a 2:3 ratio of flour to sugar and you want to double it, you use the equivalent ratio 4:6.