Mastering Equivalent Ratios: A Key to Solving Proportions and Scaling Problems

equivalent ratios

ratios that name the same comparison

Equivalent ratios are ratios that have the same relationship between their numbers. In other words, they represent the same proportion.

For example, consider the ratio 2:3. Another ratio that is equivalent to this would be 4:6, since if we simplify these ratios we get 2/3 and 4/6, which are the same fraction.

To find equivalent ratios, we can multiply or divide both parts of the ratio by the same number. This will not change the relationship between the two numbers and will give us a new ratio that is equivalent.

Let’s take another example. The ratio 5:7 can be multiplied by 2 to get an equivalent ratio of 10:14. We can also divide both parts of the ratio by 7 to get an equivalent ratio of 5/7 : 1, where the second number is 1 since dividing both parts by 7 simplifies the ratio to its lowest terms.

The concept of equivalent ratios is often used in solving problems related to proportions, scaling, and solving for unknown variables. For instance, if we know that two ratios are equivalent, we can use this information to solve for missing values in one of the ratios.

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