Get the free Unit Rate Worksheet and other resources for teaching & understanding Unit Rates

## Here’s how to find Unit Rate

A Rate is a ratio between two different quantities. A Unit Rate is a ratio between two different quantities where the denominator is equal to 1. One of the most common examples of a Unit Rate is Miles per Hour. We know that Miles per Hour is a Unit Rate because, even though the miles may change in the numerator, the denominator is always equal to one hour. In order to change a Rate into a Unit Rate you have to divide both the numerator and denominator by the number that is in the denominator. This will guarantee that you have a one in the denominator. Your answer for the Unit Rate will be the number that you get after dividing both the numerator and denominator by the number in the denominator.

Common Core Standard: 6.RP.2 ## What is a Unit Rate?

What’s the quickest way to learn how to find the unit rate? A Unit Rate is a ratio between quantities in which the denominator is equal to one. A Rate is a ratio among two separate quantities. When changing a Rate into a Unit Rate you have to use division to make the denominator equal to one. You have to divide the numerator and denominator by the number in the denominator. Your solution for the Unit Rate is the quantity that you get after dividing the numerator and denominator by the denominator. ## 3 Steps to Easily Answer Unit Rates Examples

1. Convert a Rate into a Unit Rate by dividing the numerator and denominator by the number in the denominator.
2. Make sure you use the correct units.
3. The Unit Rate will always have a one in the denominator.

## Unit Rates Practice Problems Quiz

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Unit Rates Quiz

Click Start to begin the practice quiz!

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Jazmin ran 4 miles in 50 minutes. How fast did she run each mile?

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Malachi solved 16 problems in 20 minutes. How many problems did he solve per minute?

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Jessica was charged 30 dollars for 15 candy bars. What was the price of each candy bar?

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In Chicago, it rained 12 inches in 5 hours. How many inches did it rain per hour?

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Kenny paid 6 dollars for 24 cans of soda. How much did each can of soda cost?

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## Watch the video explanation of our Unit Rates Worksheet

Watch our free video on how to solve Unit Rates. This video shows how to solve problems that are on our free Unit P worksheet that you can get by submitting your email above.

Watch the free Unit Rate video on YouTube here: How to find Unit Rates Video

Video Transcript:

This video is about answering the question what is a unit rate. You can get the worksheet used in this video for free by clicking on the link in the description below. A rate is just a ratio between two different quantities. A unit rate is a ratio between two different quantities but the denominator is always equal to one. The most common example of a unit rate is miles per hour that’s because miles per hour already includes a 1 in the denominator. If you’re going 40 miles per hour that per hour means you’re going 40 miles every 1 hour. This is a unit rate because there’s a 1 in the denominator. And thats how you answer what is unit rate?

We’re going to do a quick example of solving a unit rate using this unit rate word problem. This word problem says Jessica was charged thirty dollars for fifteen candy bars what was the price of each candy bar. Your clue that it’s a unit rate is that it says each candy bar. Each candy bar means one candy bar and that one candy bar means that it’s going to be a unit rate because we have, we will have a 1 in the denominator. We can set up our problem so we have 30, 30 for 15 candy bars. 30 dollars divided by 15 candy bars. The way that you can guarantee that your unit rate will have a 1 in the denominator is if you divide the numbers in the numerator and the denominator by the number in the denominator this will ensure that your denominator will have a 1 in it. In the case of this example if we have 15 in the denominator, we’re going to divide both the numerator by 15 and the denominator by 15. Now we can take 30 and divided by 15 and that gives us two dollars. 30 divided by 15 is two dollars and then we have our denominator which is 15 divided by 15 which will equal one and it’s a candy bar dividing both parts of the fraction by the number in the denominator will ensure that we have a one in the denominator and that’s going to make sure that we have a unit rate as a solution. Our solution to our word problem is going to be two dollars for every one candy bar. We can say two dollars per every one candy bar and that’s going to be our solution and our unit rate to this problem. Let’s do a couple practice problems on our unit rates worksheet and answer the questions how do u find unit rate?

So you may be wondering when we are going to answer what is an example of a unit rate? The first question on our unit rate worksheets that we’re going to show you how to find unit rate with says Kenny paid six dollars for 24 cans of soda how much did each can of soda cost?  Our clue in the problem that says that’s telling us what we’re going to solve for is each can of soda that means that each can of soda is going to be in the denominator. This is going to be the part of our unit rate that has to be equal to 1. The six dollars is going to be the part that goes in the numerator. It says Kenny paid six dollars so we’re going to say six dollars for 24 cans of soda. I’m going to say 24 cans of soda. Now we’re going to divide the numerator and the denominator by the number in the denominator. When we do this we’ll divide 24 in the denominator by 24 and we also have to divide 6 in the numerator by 24. Six dollars divided by 24 is going to be 0.25 dollars or this would be like 25 cents and then 24 divided by 24 is for every one can of soda. We know our unit rate now is 25 cents for every one can of soda or we can say 25 cents per one can of soda. Our unit rate for this problem tells us that Kenny paid 25 cents for every one can of soda.

The next problem we’re going to complete on our unit rate worksheet 6th grade says that in Chicago it rained 12 inches in five hours, how many inches did it rain per hour? This rain per hour is going to be our clue that tells us that this has to be equal to 1. It’s going to go in the denominator, hours go in the denominator. 5 hours goes in the denominator and in the numerator, we’re going to say 12 inches. We have 12 inches in the numerator of rain divided by 5 hours. In order to solve this we have to divide both the numerator and the denominator by the number in the denominator. The denominator has a 5 in it so we’re going to divide the denominator by 5 and the numerator by 5. 12 divided by 5 is 2.4 inches over and then five divided by five is one hour. It rained 2.4 inches in Chicago per one hour and that’s a solution to this unit rates problem. This is a great example of how to find a unit rate.

The last problem on our unit rates worksheet that we’re going to complete to show you how to solve unit rates is number six. This problem says Michael cut five yards and made eighty seven dollars and fifty cents how much did he make per yard? Our clue is going to be per yard that means that yards will go in the denominator. To make this a unit rate we have to divide by the number in the denominator which is 5. We also have to use the 5 and divide it into 87.50 which is in the numerator 87.50 divided by 5 is 17.50 and then in the denominator 5 divided by 5 would be every 1 yard. He made 17 and 50 cents per 1 yard or for each yard. Hopefully this video was helpful for teaching you how to find unit rates. You can try all the practice problems and learn how to do unit rate by downloading the free 6th grade unit rate worksheets above.

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