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Warm Up Write each fraction in simplest terms. 1.

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5-1

Ratios

9

10

8

12

7

15

3

16

Course 2

Warm Up

Write each fraction in simplest terms.

1.

21

35

3

5

36

40

2.

2

3

42

90

3.

4.

56

84

2

3

15

80

6.

5.

5-1

Ratios

Course 2

Problem of the Day

If June 1 falls on a Tuesday, on which day of the week does September 1 fall?

Wednesday

5-1

Ratios

Course 2

Learn to identify, write, and compare ratios.

5-1

Ratios

Course 2

Insert Lesson Title Here

Vocabulary

ratio

5-1

Ratios

Course 2

In basketball practice. Kathlene made 17 baskets in 25 attempts. She compared the number of baskets she made to the total number of attempts she made by using the

ratio . A ratio is a comparison of two

quantities by division.

17

25

Kathlene can write her ratio of baskets made

to attempts in three different ways.

17

25

17 to 25

17:25

5-1

Ratios

Course 2

Additional Example 1: Writing Ratios

Twenty students are asked to choose their favorite music category. Eight choose pop, seven chose hip hop, and five chose rock. Write each ratio in all three forms.

A. rock to hip hop

The ratio of rock to hip hop is 5 to 7, which can be written as the follows:

5

7

, 5 to 7, 5:7

B. hip hop to pop

The ratio of hip hop to pop is 7 to 8, which can be written as the follows:

7

8

, 7 to 8, 7:8

5-1

Ratios

Course 2

Additional Example 1: Writing Ratios

Twenty students are asked to choose their favorite music category. Eight choose pop, seven chose hip hop, and five chose rock. Write each ratio in all three forms.

C. rock to pop and hip hop

The ratio of rock to pop is 5 to 8 and rock to hip hop is 5 to 7, which can be written as the follows:

5

15

, 5 to 15, 5:15

5-1

Ratios

Course 2

Check It Out: Example 1

Nineteen students are asked to choose their favorite sport. Nine choose rock climbing, four chose kite surfing, and six chose snow boarding. Write each ratio in all three forms.

A. snow boarding to rock climbing

The ratio of snow boarding to rock climbing is 6 to 9, which can be written as the follows:

6

9

, 6 to 9, 6:9

B. kite surfing to snow boarding

The ratio of kite surfing to snow boarding is 4 to 6, which can be written as the follows:

4

6

, 4 to 6, 4:6

5-1

Ratios

Course 2

Check It Out: Example 1

Nineteen students are asked to choose their favorite sport. Nine choose rock climbing, four chose kite surfing, and six chose snow boarding. Write each ratio in all three forms.

C. rock climbing to kite surfing and snowboarding

The ratio of rock climbing to kite surfing is 9 to 4 and rock climbing to snow boarding is 9 to 6, which can be written as the follows:

9

10

, 9 to 10, 9:10

5-1

Ratios

Course 2

Sometimes a ratio can be simplified. To simplify a ratio, first write it in fraction form and then simplify the fraction.

5-1

Ratios

Remember!

A fraction is in simplest form when the GCF of the numerator and denominator is 1.

Course 2

5-1

Ratios

Course 2

Additional Example 2: Writing Ratios in Simplest Form

On average, most people can read about 600 words in 3 minutes. Write the ratio of words to minutes in all three forms. Write your answer in simplest form.

words

minute

600

3

Write the ratio as a fraction.

=

words

minute

600 ÷ 3

3 ÷ 3

=

Simplify.

words

minute

200

1

For every minute, there are 200 words read.

=

The ratio of words to minutes is 200 to 1.

5-1

Ratios

Course 2

Check It Out: Example 2

At Casitas Middle School there are 456 microscopes for 152 students. Write the ratio of microscopes to students in all three forms. Write your answer in simplest form.

microscopes

students

Write the ratio as a fraction.

456

152

=

microscope

students

456 ÷ 152

152 ÷ 152

=

Simplify.

microscope

students

3

1

For every microscope, there are 3 children.

=

The ratio of microscopes to students is 3 to 1.

5-1

Ratios

Course 2

To compare ratios, write them as fractions with common denominators. Then compare the numerators.

5-1

Ratios

Course 2

Additional Example 3: Comparing Ratios

Honey-lemon cough drops come in packages of 30 drops per 10-ounce bag. Cherry cough drops come in packages of 24 drops per 6-ounce bag. Compare the ratio of drops per ounces for each bag of cough drops.

3

1

drops

ounces

30

10

Write the ratios as fractions with common denominators.

=

=

Honey-lemon:

drops

ounces

24

6

4

1

=

Cherry:

=

Because 4 > 3 and the denominators are the same, the drops to ounces is greater in the bag of cherry cough drops.

5-1

Ratios

Course 2

Check It Out: Example 3

Jelly Beans come in small packages of 25 per 5 ounce package and large packages of 56 per 8 ounce package. Compare the ratio of jelly beans per ounce for each of the packages.

7

1

jelly beans

ounces

56

8

Write the ratios as fractions with common denominators.

=

=

Large:

jelly beans

ounces

25

5

5

1

=

Small:

=

Because 7 > 5 and the denominators are the same, jelly beans to ounces is greater in the small package.

5-1

Ratios

1

2

8

16

, 8 to 16, 8:16 or

, 1 to 2, 1:2

3

2

5

4

, 5 to 4, 5:4

, 3 to 2, 3:2

12

8

, 12 to 8, 12:8 or

20

16

, 20 to 16, 20:16 or

Course 2

Insert Lesson Title Here

Lesson Quiz: Part I

A coin bank contains 16 quarters, 12 dimes, and 8 nickels. Write the given ratio in all three forms.

1. nickels to quarters

2. dimes to nickels

3. nickels and dimes to quarters

5-1

Ratio

44 calories

1 cracker

, 44 to 1, 44:1

Course 2

Insert Lesson Title Here

Lesson Quiz: Part II

4. There are 220 calories in 5 crackers. Write the ratio of calories to crackers in all three forms. Write your answers in simplest form.

5. On a school trip, Bus 1 has 3 teachers and 14 students. Bus 2 has 4 teachers and 28 students. Which bus has the greatest ratio of teachers to students?

Bus 1