Mastering the Art of Finding Equivalent Ratios: A Comprehensive Guide

equivalent ratios

ratios that name the same comparison

Equivalent ratios are ratios that represent the same relationship between two quantities, but may have different values. For example, if we have a ratio of 5:3, we can create an equivalent ratio by multiplying or dividing both sides by the same number. If we multiply both sides by 2, we get 10:6, which is an equivalent ratio. Similarly, if we divide both sides by 3, we get 1.67:1, which is another equivalent ratio.

Here are the steps to finding equivalent ratios:

1. Start with the given ratio, such as 2:3.

2. Decide on a number to multiply or divide both sides of the ratio by. For example, we can multiply both sides by 2 to get 4:6.

3. Check if the new ratio is simplified, if not simplify it. In our example of 4:6, we can simplify this to 2:3, which is the same as the original ratio.

4. Repeat the process by choosing a different number to multiply or divide the ratio by. In this way, we can generate multiple equivalent ratios for the same relationship between two quantities.

It is important to understand equivalent ratios because they allow us to compare different quantities in a way that is consistent and meaningful. They are used in different fields such as mathematics, finance and sciences.

More Answers: