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Get the free Equivalent Ratios Worksheet and other resources for teaching & understanding Equivalent Ratios

## Here’s how to find Equivalent Ratios

A Ratio is a mathematical concept that shows how many times a number goes into a second number. Equivalent Ratios are ratios that contain the same relationship between the two numbers in a ratio. For example, the ratios of 6:8 and 3:4 are Equivalent Ratios because they both represent the same relationship between the two sets of numbers. Equivalent Ratios can be created by multiplying, or dividing, the numerator and denominator of a ratio by the same number. In our first example, you can divide the ratio of 6:8 by two to get the new ratio of 3:4.

Common Core Standard: 6.RP.2

## What are Equivalent Ratios? A short Equivalent Ratios definition

When answering how to do ratios, you must first know the definition of a ratio. A mathematical topic that shoes a relationship between two numbers is called a ratio. If two ratios have the same relationship between their two numbers they are said to be Equivalent Ratios. If you multiply, or divide, the numerator and denominator of the ratio by the same amount you will create a ratio that is equal to the first ratio. This new ratio is called and Equivalent Ratio.

## 2 Simple Steps for answering Equivalent Ratios Examples

1. Determine what you have to multiply by to create the new Equivalent Ratio by dividing.
2. Once you know the multiplier, you can fill in the blank using multiplication.

## How to Solve Ratios Practice Problems

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Equivalent Ratios Quiz

Click Start to begin the practice quiz!

1 / 5

Find the missing value:

6 : _ = 36 : 54

2 / 5

Find the missing value:

5 : 8 = _ : 32

3 / 5

Find the missing value:

6 : 10 = 18 : _

4 / 5

Find the missing value:

_ : 10 = 5 : 50

5 / 5

Find the missing value.

3 : _ = 9 : 12

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## Watch the video explanation of our Equivalent Ratios Worksheet

Watch our free video on how to solve Ratios. This video shows how to solve problems that are on our free finding Equivalent Ratios worksheets that you can get by submitting your email above.

Watch the free Equivalent Ratios video on YouTube here: How to do Equivalent Ratios Video

Video Transcript:

This video is about answering the question what are equivalent ratios. You can get the Equivalent Ratios worksheet 6th grade used in this video for free by clicking on the link in the description below. Equivalent ratios 6th grade are ratios that contain the same relationship between the two ratios. Equivalent ratios can be found by multiplying either the numerator or the denominators by the same number. You can use multiplication or division to find missing numbers in equivalent ratios. In the case of this example that gives us two equivalent ratios we have six to a missing number is equal to 12 to 48. We can take these equivalent ratios and we can write them out as fractions in order to show you how to find the missing number.

The first ratio gives us 6 over our missing number which I’m going to use a question mark and that’s equal to the second ratio which is 12 over 48. In the case of this example, we’re going to use division. Now I know we’re going to use division because we have to find the relationship from the second ratio back to the first ratio. This is because we can’t use the first ratio to find the relationship because we’re missing a number in that ratio so we’re going to take the second ratio and we’re going to find the relationship of the numerator and the denominator to the relationship in the first ratio of the numerator and the denominator. In order to go from 12 to 6 you have to divide by 2. 12 divided by 2 is 6. Then you can use that same relationship to go backwards from 48 to get our missing number. We’re also going to do 48 divided by 2. 48 divided by 2 is 24. Now I know that our missing number has to be 24 because our equivalent ratios have to have the same relationship between the two ratios. In the case of this example the relationship is to divide by 2. Let’s do a couple practice problems on our equivalent ratios worksheet.

The first problem on our equivalent ratios worksheet gives us the ratio of 2 to 8 is equal to 6 to our missing number. The directions say to fill in the blank with a number that will make the ratios equivalent. We can take our ratios and we can write them out as fractions. 2 over 8 is equal to 6 over our missing number. We know that equivalent ratios have the same relationship between the two sets of ratios. We can use one ratio to determine the missing number in another ratio in the case of this example we’re going to use the first ratio to find the missing number in the second ratio. We have to determine the relationship to go from two to six. two times three is equal to six. We can use that same relationship of times three to fill in our missing number 8 times 3 is 24. I know that our missing number is 24 in this equivalent ratios 6th grade because in order for the ratios to be equivalent this number has to be 24. We know that the relationship between the two ratios is to multiply times three.

The next problem we’re going to complete on our equivalent ratios worksheet is number three. This problem gives us a blank number is 2 10 is equal to 4 over 5. We don’t know this number so we’re going to say question mark over 10 is equal to the ratio of 4 over 5. Again we have to fill in our missing number here by finding the relationship between the two equivalent ratios. We have to go from the second ratio back to the first ratio this time by using the denominator because we’re missing a number in the first ratio. We have to figure out how do we go from 5 to 10 and 5 times 2 is 10. I know that the relationship is to multiply times 2 and then 4 times 2 will give us our missing number which in this case is going to be eight. Our missing number in this equivalent ratio is eight.

The final problem we’re going to complete on our equivalent ratios worksheet is number eight this problem gives us 99 over nine is equal to 11 over our missing number again we need to find the relationship between the two ratios by going from one ratio to the other. In the case of this example, we have to figure out how do we go from 99 to 11 because we’re missing a number in the denominator. We have to use the two numbers in the numerator. 99 divided by 9 is 11.  Now we know the relationship is to divide by 9. We take that relationship and we also use it in the denominator nine divided by nine is equal to one. I know that our missing number has to be one. Hopefully you found this video helpful for answering the question what are equivalent ratios. Try the other practice problems by downloading all equivalent ratio worksheets above

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