# Rate review

CCSS Math: 6.RP.A.3b
Review the basics of rates and try some practice problems.

## What is a rate?

A rate is a ratio that compares two quantities with different units of measure.
Example of a rate:
A plane flew $765$ miles in $5$ hours.

### Unit rates

A unit rate is a comparison of two measurements where one of the terms (usually, the second term) is $\goldD1$.
Examples of a unit rates:
There are $60$ minutes in $\goldD1$ hour.
Jen types $42$ words in $\goldD1$ minute.
Want to learn more about rates? Check out this video.

## Finding unit rates

To find a unit rate, we divide the first quantity in a rate by the second.
Example:
A plane flew $765$ miles in $5$ hours.
$765\div5=153$
The plane flew at a rate of $153$ miles per hour. We can also write the unit rate as $153\text{ miles}:\goldD1\text{ hour}$.
Want to learn more about solving unit rates? Check out this video.

## Using unit rates to solve rate problems

Let's look at an example.
Mark can make $\blueD{42}$ birthday cakes in $\redC7$ days.
How many birthday cakes can Mark make in $\purpleD5$ days?
First, we find the unit rate.
Mark makes cakes at a unit rate of $6$ cakes for every $1$ day.
Now, we can use the unit rate to find how many cakes Mark makes in $\purpleD5$ days.
In $\purpleD{5}$ days, Mark can make $\greenD{30}$ cakes.

## Practice

Problem 1
Frances can complete $91$ oil changes in $7$ days.
How many oil changes can Frances complete in $11$ days?
oil changes

Want to try more problems like this? Check out this exercise.
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