1. Rates Ratios and Unit Rates
You will need two different colored
highlighters
Not all slides are used in the notes

2. Ratio - a comparison of two quantities by division
Ratio - a comparison of two quantities by division. Can be written 3 different ways.
200 4
200 : 4
200 to 4
Rate – Ratio that compares 2 quantities measured in different units
200 Miles
4 Hours
200 Miles : 4 Hours
200 Miles to 4 Hours

3. Ex 1)
A basket of fruit contains 6 apples, 4 bananas, and 3 kiwi. Write a ratio in all 3 forms for the following:
4 b
A. Bananas to kiwi
1. Write the first quantity on top with a label
3 k
3 k
B. Kiwi to bananas
2. Simplify, but do not convert to a proper fraction
4 b
4 b
2 b
C. Bananas to apples =
6 a
3 a
6 a
2 a
D. Apples to Kiwi =
3 k
1 k

4. A unit rate is a rate whose denominator is 1
A unit rate is a rate whose denominator is 1. To change a rate to a unit rate, divide both the numerator and denominator by the denominator.
200 Miles
4 Hours
50 Miles =
1 Hour
Ex 2)
During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute?
675 beats
675 beats ÷ 5
135 beats =
5 minutes ÷ 5
1 minute

5. Ex 3)
The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour?
288 miles ÷ 6
48 miles =
6 hours ÷ 6
1 hour

6. Notes start here

7. You will need two different colored highlighters
Date ___________
Rates Ratios and
You will need two different colored
highlighters

8. A ratio is a comparison of two quantities
A ratio is a comparison of two quantities. Can be written 3 different ways. : to
Rate – Ratio that compares 2 quantities measured in different units : to

9. Ex 1)
A basket of fruit contains 6 apples, 4 bananas, and 3 kiwi. Write a ratio in all 3 forms for the following:
A. Bananas to kiwi
1. Write the first quantity on top with a label
B. Kiwi to bananas
2. Simplify, but do not convert to a proper fraction
C. Bananas to apples
D. Apples to Kiwi

10. A unit rate is a rate whose denominator is 1
A unit rate is a rate whose denominator is 1. To change a rate to a unit rate, divide both the numerator and denominator by the denominator.
200 Miles
4 Hours
50 Miles =
1 Hour
Ex 2)
During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute? ÷ = ÷

11. Ex 3)
The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour? ÷ = ÷