Rates Ratios and Unit Rates

You will need two different colored highlighters

Not all slides are used in the notes

200 : 4

• Rate – Ratio that compares 2 quantities measured in different units

• Ratio - a comparison of two quantities by division. Can be written 3 different ways.

200 to 4

200

4

200 Miles : 4 Hours 200 Miles to 4 Hours

200 Miles 4 Hours

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

B. Kiwi to bananas

C. Bananas to apples

D. Apples to Kiwi

4 b3 k 1. Write the first quantity on

top with a label

2. Simplify, but do not convert to a proper fraction

4 b3 k

4 b6 a

2 b3 a

6 a3 k

2 a1 k

=

=

675 beats

200 Miles 4 Hours

÷÷

5

5

50 Miles 1 Hour

=

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.

Ex 2)During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute?

675 beats5 minutes

135 beats 1 minute

=

The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour?

÷÷

6

6

Ex 3)

288 miles6 hours

48 miles 1 hour

=

Notes start here

Rates Ratios and

You will need two different colored highlighters

Date ___________

:

• Rate – Ratio that compares 2 quantities measured in different units

A ratio is a comparison of two quantities. Can be written 3 different ways.

to

: to

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

B. Kiwi to bananas

C. Bananas to apples

D. Apples to Kiwi

1. Write the first quantity on top with a label

2. Simplify, but do not convert to a proper fraction

200 Miles 4 Hours

÷÷

50 Miles 1 Hour

=

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.

Ex 2)During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute?

=

The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour?

÷÷

Ex 3)

=