7-6 Percents, Decimals, and Fractions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

7-6 Percents, Decimals, and Fractions

Warm Up

Lesson Presentation

Problem of the Day

Lesson Quizzes


Warm UpWrite each percent as a fraction in simplest form.

1. 37% 2. 78%

Write each percent as a decimal.

3. 59% 4. 7%0.59 0.07

37100

___ 39 50

___


Problem of the Day

Jennifer gave Karen 50% of her comic books. Karen gave Jack 50% of the books she got from Jennifer. Jack gave Lucas 50% of the books he got from Karen. Lucas got 4 comic books. What percent of Jennifer’s comic books does Lucas have?12.5%


Learn to write decimals and fractions as percents.


Additional Example 1A: Writing Decimals as Percents

Write the decimal as a percent.

Method 1: Use place value.

0.7

Write the decimal as a fraction.

Write an equivalent fraction with 100 as the denominator.

0.7 = 710

__

7 • 1010 • 10

_______ = 70100

___

70100

___ = 70% Write the numerator with a percent symbol.


Additional Example 1B: Writing Decimals as Percents



0.16

Write the decimal as a fraction.0.16 = 16 100

__

16100



Additional Example 1C: Writing Decimals as Percents


Method 2: Multiply by 100.

0.4118

Multiply by 100.0.4118 • 100

41.18% Add the percent symbol.


Additional Example 1D: Writing Decimals as Percents



0.067

Multiply by 100.0.067 • 100



Check It Out: Example 1A



0.9

Write the decimal as a fraction.


0.9 = 910

__

9 • 1010 • 10

_______ = 90100

___

90100



Check It Out: Example 1B



0.31

Write the decimal as a fraction.0.31 =

31100


31100


Check It Out: Example 1C



0.1225

Multiply by 100.0.1225 • 100



Check It Out: Example 1D



0.023

Multiply by 100.0.023 • 100



When the denominator is a factor of 100, it is often easier to use method 1. When the denominator is not a factor of 100, it is usually easier to use method 2.

Helpful Hint


Additional Example 2A: Writing Fractions as Percents


9 • 425 • 4

______ = 36100

___

36100


925

__

Write the fraction as a percent.

Method 1: Write an equivalent fraction with a denominator of 100.


Additional Example 2B: Writing Fractions as Percents

Divide the numerator by the denominator.

0.15 = 15% Multiply by 100 by moving the decimal point right two places. Add the percent symbol.

320

__

100

20 3.000.15

–20

–1000

Method 2: Use division to write the fraction as a decimal.


Check It Out: Example 2A

Write the fraction as a percent.

Method 1: Write an equivalent fraction with a denominator of 100.


7 • 250 • 2

______ = 14100

___

14100


750

__


Check It Out: Example 2B

Divide the numerator by the denominator.

0.16 = 16% Multiply by 100 by moving the decimal point right by two places. Add the percent symbol.

850

__

50 8.000.16

Method 2: Use division to write the fraction as a decimal.


Additional Example 3: Application

One year, of people with home offices

were self-employed. What percent of people with home offices were self employed?

Write an equivalent fraction with a denominator of 100.

7 • 425 • 4

______ = 28100

___

28100

___ = 28%

725

__

725

__

28% of people with home offices were self-employed.


Check It Out: Example 3

One year, of people who bought new cars

bought cars that were yellow. What percent of people that bought new cars bought yellow cars?

Write an equivalent fraction with a denominator of 100.

3 • 250 • 2

______ = 6100

___

6100

___ = 6%

350

__

350

__

6% of people with new cars bought yellow cars.


The number line below shows common equivalent fractions, decimals, and percents.


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems


Lesson Quiz

Write each decimal as a percent.

1. 0.26 2. 0.419

Write each fraction as a percent.

3. 4.

5. About of all the students at a local high

school own their own car. What percent is this?

41.9%26%

20% 56.25% 1 5

__ 916

__

116

__

6.25%


1. Which of the following represents the decimal 0.37 as a percent?

A. 0.37% B. 37%

C. 3.7% D. 370%



2. Which of the following represents the decimal 0.143 as a percent?

A. 143% B. 1.43%

C. 14.3% D. 0.143%



3. Which of the following represents the

fraction as a percent?

A. 0.24% B. 24%

C. 2.4% D. 240%



4. Which of the following represents the

fraction as a percent?

A. 78.75% B. 68.75%

C. 70% D. 60%



5. Mike correctly answered of the

questions on his math test. What percent of

the questions were answered correctly?

A. 4.5% B. 80% C. 45% D. 90%


7-6 Percents, Decimals, and Fractions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

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