Ratios, Proportions, and Percents
Overview
Ratios, proportions, and percents cover a broad set of topics, and you need to be familiar with these topics because you will see several SAT math questions on these topics. In this section we’ll cover the following:
- Ratios and Rates
- Proportions
- Percents
Let’s look at each of these in more detail:
Ratios and Rates
What is a ratio? It is a relationship between two quantities. Take a look at the definition.
Click on this link to learn more about ratios. This slide show includes a video and examples of different ratios. Here are some additional ratios topics you should review. Each of the following includes a link to a slide show with additional content:
- Ratios with Three Items: Explore ratios of the form a:b:c.
- Ratios with Fractions: Explore ratios where the the terms are made up of fractions.
- Equivalent Ratios: Explore ratios that represent the same amount.
A rate is a special type of ratio. Look at this definition.
Click on this link to learn more about rates. This slide show includes a video and examples of different rates.
Another topic related to rates is unit rates. Look at this definition.
Click on this link to learn more about unit rates. This slide show includes a video and examples of different unit rates.
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Proportions
When two ratios are equal to each other, they can form an equation called a proportion. Look at this definition.
To learn more about proportions, click on this link. It is a presentation that goes over the proportions in more detail.
When proportions include a variable, this results in an equation that can be solved.
To learn more about solving proportions, click on this link. To see worked-out examples of solving proportions, click on this link.
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Percents
A percent is a ratio where the denominator is 100. You can also think of a percent as a fraction with a denominator of 100. Take a look at this definition.
To learn more about percents, click on this link. In working with percents, there are three different types of equations to solve. For each of the cases below, click on the link to see a slide show that provides additional content:
- Percent of a Number: x is a% of b.
- Calculating the Whole Given a Percent: a is b% of x.
- The Percent One Number Is of Another: a is x% of b.
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About Media4Math
All of the resources in this overview can be found on Media4Math. Subscribers can download these resources, or create their own slide shows using Slide Show Creator.