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## Objective:

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### Objective: Students will express ratios and rates as fractions (8-1). – PowerPoint PPT presentation

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Title: Objective:

1
Objective
• Students will express ratios and rates as
fractions (8-1).

2
Vocabulary
• Rate- a ratio of two measurements that have
different units.
• Ratio- comparison of two numbers by division

3
Ratio as a fraction
• Write the problem down.
• Write the ratio as a fraction. The first the
numerator. The second the denominator.
• Last, simplify.

4
Ratio as a rate
• Write down the problem.
• Write problem as a fraction (fraction may be a
improper fraction).
• Divide denominator into numerator in order to
simplify.
• Be careful when working with money.

5
Notes
• A ratio can be written 4 ways
• 24 to 108
• 24 out of 108
• 24108
• 24 over 108 (fraction)

6
Examples
• Express the ratio that compares the number of
strawberries to the total number of pieces of
fruit as a fraction in simplest form.
• Strawberries 4

7
Examples
• Express the ratio that compares the number of
strawberries to the total number of pieces of
fruit as a fraction in simplest form.
• Strawberries 4
• Pieces of fruit 10

8
Examples
• Express the ratio that compares the number of
strawberries to the total number of pieces of
fruit as a fraction in simplest form.
• Strawberries 4 2
• Pieces of fruit 10 5

9
Examples
• Express the ratio that compares the number of
strawberries to the total number of pieces of
fruit as a fraction in simplest form.
• Strawberries 4 2 The GCF of 4 and
• Pieces of fruit 10 5 10 is 2. Divide
the

• numerator and the

• denominator by the
• GCF 2.
• The ratio in simplest form is 2

• 5

10
• Express the ratio 7 inches of rain in 28 days as
a rate.
• 7 inches

11
• Express the ratio 7 inches of rain in 28 days as
a rate.
• 7 inches
• 28 days

12
• Express the ratio 7 inches of rain in 28 days as
a rate.
• 7 inches 0.25 inch
• 28 days 1 day
• Divide the numerator and the
• denominator by 28 to get a denominator of 1.
• The total rain fall is equivalent
• to 0.25 inch each day.

13
• Dhara purchased a 14.5 ounce bag of chips for
3.19. What was the cost per ounce?
• Explore You know that the 14.5 ounce
• bag of chips costs 3.19 You
• need to find the cost per
• ounce.
• Plan Use a rate to compare the cost
• to the weight.

14
• Solve 3.19 0.22
• 14.5 oz. 1 oz.
• Divide the numerator and the
• denominator by 14.5 to get a
• denominator of 1.
• 3.19 14.5 0.22
• The cost is 22 cents per ounce.
• Examine 0.22 x 14.5 3.19 So the

15
Guided Practice
• Write each ratio in three different ways
• 7 carnations out of 24 flowers

16
• Write each ratio in three different ways
• 7 carnations out of 24 flowers
• 7 out of 24 7 to 24 724
• 15 to 34 15 out of 34 15

• 34

17
• Express each ratio as a fraction in simplest
from
• 16 beagles out of 24 dogs
• 10 emeralds out of 25 gems

18
• Express each ratio as a fraction in simplest
from
• 16 beagles out of 24 dogs
• 16 beagles 2 beagles
• 24 dogs 3 dogs
• 10 emeralds out of 25 gems
• 10 emeralds 2 emeralds
• 25 gems 5 gems

19
• Express each ratio as a rate
• 120 words in 3 minutes
• 5 soft drinks for 3.25
• The fastest running bird is the ostrich. An
ostrich can run 240 miles in 6 hours. What is
the average speed of an ostrich?

20
• Express each ratio as a rate
• 120 words in 3 minutes
• 120 words 40 words
• 3 minutes 1 min.
• The answer is 40 words per minute.
• 5 soft drinks for 3.25
• 3.25 0.65
• 5 soft drinks 1 soft drink
• The answer is 0.65 per soft drink.

21
• The fastest running bird is the ostrich. An
ostrich can run 240 miles in 6 hours. What is
the average speed of an ostrich?
• 240 miles 40 miles
• 6 hours 1 hour
• The answer is 40 miles per hour.