Finding equivalent ratios is an important skill in math. There are some easy ways to help you do this faster. Let’s look at a few helpful methods!

1. Multiplication and Division

One of the easiest ways to find equivalent ratios is by multiplying or dividing both parts of the ratio by the same number.

For example, take the ratio 2:3.
If we multiply both parts by 2, we get 4:6.

Now, if we take the ratio 10:15 and divide both parts by 5, we end up with 2:3.

2. Simplifying Ratios

You can also simplify ratios just like you simplify fractions.

Let’s look at the ratio 12:16.
If we divide both numbers by 4, we get 3:4.

This makes it easier to find equivalent ratios quickly!

3. Using Fractions

You can also write ratios as fractions. For example, the ratio 5:10 can be written as 5/10.

When you simplify 5/10, you get 1/2.

This makes it easier to see how ratios are related.

4. Using Proportion

To check if two ratios are equivalent, you can set up a proportion.

For example, to see if 1:2 is the same as 3:6, you can write it like this:
1/2 = 3/6.

If both sides are equal, then the ratios are equivalent!

Using these techniques can help you understand ratios better and make math easier and more fun. Happy calculating!