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Learn what equivalent ratios are and how to identify them using cross multiplication or HCF methods. See examples, visual representation, practice problems and frequently asked questions on equivalent ratios.
3 sie 2023 · Equivalent ratios are ratios having the same value when they are simplified. The equality of two ratios is termed proportion; thus, equivalent ratios are always in proportion. In other words, two ratios are equivalent if one can be expressed as the multiple of the other.
One way to identify equivalent ratios is to determine if you can multiply or divide the corresponding parts of the ratio by the same amount. To do this, look at the two ratios and see if there is a common factor that you can use to scale one ratio to the other.
What is the Definition of Equivalent Ratios? Two or more ratios are equivalent if they have the same value when reduced to the lowest form. For example, 1:2, 2:4, 4:8 are equivalent ratios.
To write an equivalent ratio, multiply the parts by the same value. Here the 10 and the 8 are both multiplied by 2. 10 x 2 = 20. 8 x 2 = 16. 10 : 8 and 20 : 16 are equivalent ratios.
In this explainer, we will learn how to simplify ratios, whether they be part-to-part or three-part ratios, and how to find equivalents to these ratios. We are interested here, in particular, in ratios that compare two parts of a whole, usually written as 𝑎 ∶ 𝑏 (sometimes also as the fraction 𝑎 𝑏).
Equivalent ratios are ratios that express the same relationship between quantities. Learn how to find them, use them in geometry, physics, and economics, and see real-life examples.