Unit rate

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Rates Ratios and Unit Rates

You will need two different colored highlighters

Not all slides are used in the notes

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

200 to 4

4

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

200 Miles : 4 Hours

200 Miles

4 Hours

200 Miles to 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 b

3 k

3 k

4 b

4 b

6 a

=

2 b

3 a

6 a

3 k

=

2 a

1 k

1. Write the first quantity on top with a label

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

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?

5 minutes

÷

÷ 5

135 beats

1 minute

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 hours

÷

÷ 6

48 miles

1 hour

Notes start here

Date ___________

Rates Ratios and

You will need two different colored highlighters

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

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

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?

÷

÷

=

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?

÷

÷

=

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