How do you find an equivalent ratio?

To find an equivalent ratio, multiply or divide both terms of the ratio by the same number.

Ratios are a way to compare two quantities. For example, if you have a ratio of 2:3, it means for every 2 units of the first quantity, there are 3 units of the second quantity. To find an equivalent ratio, you need to either multiply or divide both parts of the ratio by the same non-zero number. This keeps the relationship between the two quantities the same.

Let's take the ratio 2:3. If you multiply both terms by 2, you get 4:6. This is an equivalent ratio because the relationship between the two quantities remains the same. Similarly, if you divide both terms by 2, you get 1:1.5, which is also an equivalent ratio.

Another example is the ratio 5:10. If you divide both terms by 5, you get 1:2. If you multiply both terms by 3, you get 15:30. Both 1:2 and 15:30 are equivalent to 5:10.

It's important to remember that you must use the same number to multiply or divide both terms. If you multiply one term by a different number than the other, the ratio will no longer be equivalent. This concept is useful in many areas of maths, including proportions, scaling, and probability. Understanding how to find equivalent ratios can help you solve a variety of problems more easily.