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Intro to Ratios


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Overview

Understanding Ratios

A ratio expresses the relationship between two quantities.

Look at the shapes below. We can see that there are some hearts as well as some
stars, but what is the ratio of stars to hearts?

Step 1: Calculate the first quantity
First we need to calculate the number of stars because the question is asking the
ratio of “stars” to “hearts”.
There are 2 stars

Step 2: Calculate the second quantity
Next, we need to calculate the number of hearts.
There are 3 hearts

Step 3: Express the relationship between the first and second quantities

The relationship can be expressed as:

The ratio of stars to hearts is 

We can also say:

For every 2 stars there are 3 hearts
or
2 to 3

Let’s look at a more challenging example.

What is the ratio of stars to hearts?

Step 1: First we calculate the number of stars, which is 3.
Step 2: Next we calculate the number of hearts, which is 6.

Step 3: Now, we express the relationship as

Step 4: We can simplify the ratio just as we simplify fractions.

The common factor is 3. So, the ratio of stars to hearts is

Step 5: You can check your answer by looking at the quantities

We can see that for every 1 star, there are 2 hearts ✓

 

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What is the ratio of apples to oranges?

What is the ratio of fish to cats?

What is the ratio of cats to dogs?

 

What is the ratio of carrots to ice cream cones?

 

What is the ratio of donuts to candy?

 

 

 

 

See Related Worksheets:
6th grade
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Aliens might invade if students don't get these problems solved quickly and correctly! But they will have no t...
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Get ready to go to Outer space with these word problems using unit rates! Students will practice what they kno...
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Ratio tables, unlike the dinosaurs on this worksheet, aren't extinct. They can be used every day to solve rati...
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Try ArgoPrep for FREE

Learn more Try ArgoPrep for FREE

Share good content with friends and get 15% discount for 12-month subscription

Share in facebook Share in twitter
Click on the quizzes below to test your knowledge.
Remember: Practice Makes Progress