Lesson Menu Main Idea and New Vocabulary Example 1:Write a Ratio in Simplest Form Example 2:Use...

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Transcript of Lesson Menu Main Idea and New Vocabulary Example 1:Write a Ratio in Simplest Form Example 2:Use...

Main Idea and New Vocabulary

Example 1:Write a Ratio in Simplest Form

Example 2:Use Ratios to Compare Parts to aWhole

Example 3:Real-World Example: Divide Groupsby Ratios

• Express ratios and rates in fraction form.

• ratio

Write a Ratio in Simplest Form

Write the ratio in simplest form that compares the number of baseballs to the number of soccer balls. Then explain its meaning.

There are 4 baseballs and 10 soccer balls. Write a ratio to compare 4 baseballs to 10 soccer balls.

Write a Ratio in Simplest Form

baseballs ___410soccer balls

Simplify the ratio.

baseballssoccer balls

___410

___25

=

÷2

÷2

The GCF of 4 and 10 is 2.

Write a Ratio in Simplest Form

Answer: The ratio of baseballs to

soccer balls is

2 to 5, or 2:5. This means that

for every

2 baseballs there are 5 soccer

balls.

A.

B.

C.

D. For every 5 soccer balls there are 2 baseballs.

Write the ratio in simplest form that compares the number of soccer balls to the number of baseballs. Then explain its meaning.

BOOKS Several students were asked to name their favorite kind of book. Write the ratio that compares the number of students who chose fantasy books to the total number of students.

Use Ratios to Compare Parts to a Whole

Five students chose fantasy books out of a total of 7 + 9 + 4 + 5 or 25 responses.

Simplify the ratio.

Use Ratios to Compare Parts to a Whole

fantasy responses ___525total responses

fantasy responsestotal responses

___525

___15

=

÷5

÷5

Use Ratios to Compare Parts to a Whole

Answer: The ratio of students who chose

fantasy to

the total number of students is 1 to

5,

or 1:5. So, one out of every 5 students

chose fantasy books.

PETS A pet store sold the animals listed in the tablein one week. Write the ratio that compares thenumber of gerbils sold to the number of birds sold.

A.

B.

C.

D.

Divide Groups by Ratios

FOOD DRIVE Robert wants to divide 35 cans of food into two groups so that the ratio is 3 to 4.

Step 1 Use a bar diagram.

Step 2 There are 7 equal sections. So, each sectionrepresents 35 ÷ 7 or 5 cans.

Check

Answer: There are 15 cans of food in the first group

and 20 cans of food in the second group.

Divide Groups by Ratios

SWIMMING The coach wants to divide 24 swimmers into two teams so that the ratio is 3 to 5.

A. There are 15 swimmers on the first team and 9 swimmers on the second team.

B. There are 9 swimmers on the first team and 18 swimmers on the second team.

C. There are 6 swimmers on the first teamand 18 swimmers on the second team.

D. There are 9 swimmers on the first team and 15 swimmers on the second team.