If you need to know how to calculate a unit rate it’s actually pretty simple. A unit rate is nothing more than a ratio between two different units. For example if you want to know how many miles you can drive in an hour you would use a unit rate. The equation would look like this:
Miles per hour = miles traveled/hours traveled
To calculate a unit rate you simply take the amount of the first units and divide it by the amount of the second units. So in our example above if you wanted to know how many miles you could drive in an hour you would take the number of miles you traveled and divide it by the number of hours it took you to travel that distance.
For example let’s say you traveled 150 miles in 3 hours. To calculate your miles per hour you would divide 150 by 3 to get 50. That means you were driving 50 miles per hour.
Unit rates can be used with any units but they are especially useful when working with units of time like minutes hours days weeks etc.
Here are some more examples of unit rates:
-Price per kilogram
-Miles per gallon
-Inches per foot
-Cups per pint
-Pages per hour (if you’re reading a book)
Now that you know how to calculate a unit rate let’s put it to use!
Suppose you’re on a road trip and you want to know how many miles you can drive in a day. You’ve been driving for 6 hours and you’ve traveled 350 miles. How many miles per hour are you driving?
To calculate your unit rate you would divide 350 miles by 6 hours to get 58.3 miles per hour.
What if you want to know how long it will take you to drive 400 miles if you’re driving 70 miles per hour?
To calculate this you would use the equation:
Time (in hours) = distance (in miles)/rate (in miles per hour)
So you would plug in 400 miles for the distance and 70 miles per hour for the rate. This would give you an answer of 5.7 hours.
Now it’s your turn! Try calculating the unit rate for the following examples:
1. You’re driving on the highway and you want to know how long it will take you to travel 450 miles if you’re driving 75 miles per hour.
2. You want to buy a new car and you’re looking at two different models. One gets 30 miles per gallon and the other gets 36 miles per gallon. You want to know which one will save you more money in the long run.
3. You’re making a cake and the recipe calls for 2 1/2 cups of sugar. You only have 1 cup of sugar. How much sugar will you need to buy?
Answers:
1. It will take you 6 hours to travel 450 miles.
2. The car that gets 36 miles per gallon will save you more money.
3. You will need to buy 1 1/2 cups of sugar.
What is a unit rate?
A unit rate is a rate in which the second term is 1.
For example 30 miles in 1 hour or $60 in 2 hours.
How do you calculate a unit rate?
You calculate a unit rate by dividing the first term by the second term.
For example 30 miles divided by 1 hour equals 30 miles per hour.
What is an example of a unit rate?
An example of a unit rate is price per unit such as $3 per apple $15 per ticket etc.
What is the unit rate of 30 miles in 1 hour?
The unit rate of 30 miles in 1 hour is 30 miles per hour.
What is the unit rate of $60 in 2 hours?
The unit rate of $60 in 2 hours is $30 per hour.
What is the unit rate of 3 apples for $9?
The unit rate of 3 apples for $9 is $3 per apple.
What is the unit rate of $15 per ticket?
The unit rate of $15 per ticket is $15 per ticket.
How do you find the unit rate of a complex rate?
To find the unit rate of a complex rate you first need to determine what the rate is per unit.
For example if the rate is $30 for 2 hours the unit rate is $30 per hour.
How do you find the unit rate of a rate that is not given in a specific unit of measurement?
In order to find the unit rate of a rate that is not given in a specific unit of measurement you need to determine what the rate is per unit.
For example if the rate is 2 miles per hour the unit rate is 2 miles per hour.
What is the difference between a unit rate and a complex rate?
A unit rate is a rate in which the second term is 1.
A complex rate is a rate in which the second term is not 1.
How do you convert a unit rate to a complex rate?
To convert a unit rate to a complex rate you need to multiply the unit rate by the desired amount.
For example if the unit rate is $30 per hour and you want to know the rate for 4 hours you would multiply $30 per hour by 4 to get $120.
How do you convert a complex rate to a unit rate?
To convert a complex rate to a unit rate you need to divide the complex rate by the second term.
For example if the complex rate is $120 for 4 hours the unit rate would be $30 per hour.
What is the difference between a unit price and a complex price?
A unit price is a price in which the second term is 1.
A complex price is a price in which the second term is not 1.
How do you convert a unit price to a complex price?
To convert a unit price to a complex price you need to multiply the unit price by the desired amount.
For example if the unit price is $3 per apple and you want to know the price for 6 apples you would multiply $3 per apple by 6 to get $18.
How do you convert a complex price to a unit price?
To convert a complex price to a unit price you need to divide the complex price by the second term.
For example if the complex price is $18 for 6 apples the unit price would be $3 per apple.
