7-5 Percents, Decimals, and Fractions

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Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes

7-5 Percents, Decimals, and Fractions

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

___

7-5 Percents, Decimals, and Fractions

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%

7-5 Percents, Decimals, and Fractions

MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems.

Also MA.6.A.5.2

Sunshine State Standards

7-5 Percents, Decimals, and Fractions

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.

7-5 Percents, Decimals, and Fractions

Additional Example 1B: Writing Decimals as Percents

Write the decimal as a percent.

Method 2: Multiply by 100.

0.4118

Multiply by 100.0.4118 • 100

41.18% Add the percent symbol.

7-5 Percents, Decimals, and Fractions

Check It Out: Example 1A

Write the decimal as a percent.

0.023

2.3%

7-5 Percents, Decimals, and Fractions

Check It Out: Example 1B

Write the decimal as a percent.

0.018

1.8%

7-5 Percents, Decimals, and Fractions

Check It Out: Example 1C

Write the decimal as a percent.

0.957

95.7%

7-5 Percents, Decimals, and Fractions

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

7-5 Percents, Decimals, and Fractions

Additional Example 2A: Writing Fractions as Percents

Write an equivalent fraction with 100 as the denominator.

9 • 425 • 4

______ = 36100

___

36100

___ = 36% Write the numerator with a percent symbol.

925

__

Write the fraction as a percent.

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

7-5 Percents, Decimals, and Fractions

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.

7-5 Percents, Decimals, and Fractions

Check It Out: Example 2A

Write the fraction as a percent.

7 • 250 • 2

______=

14100

___

= 14%

750

__

750

__

=

7-5 Percents, Decimals, and Fractions

Check It Out: Example 2B

Write the fraction as a percent.

11 • 250 • 2

______=

22100 ___

= 22%

1150 __

1150 __

=

7-5 Percents, Decimals, and Fractions

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.

Write the numerator with a percent symbol.

7-5 Percents, Decimals, and Fractions

Check It Out: Example 3A

During the soccer season, of Evan’s teammates scored a goal. What percent of Evan’s teammates scored a goal?

9 • 520 • 5

______=

45100 ___

= 45%

920 __

920

__

=

7-5 Percents, Decimals, and Fractions

Check It Out: Example 3B

Jo spends of her time at the gym doing stretches to warm up. What percent of Jo’s time at the gym does she spend stretching?

1 • 205 • 20

______=

20100 ___

= 20%

15

__

15

__

=

7-5 Percents, Decimals, and Fractions

Check It Out: Example 3C

George wants of the calories he eats to come from protein. What percent of George’s calories should come from protein?

2 • 205 • 20

______=

40100 ___

= 40%

25

__

25

__

=

7-5 Percents, Decimals, and Fractions

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

7-5 Percents, Decimals, and Fractions

Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

7-5 Percents, Decimals, and Fractions

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%

7-5 Percents, Decimals, and Fractions

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

A. 0.37% B. 37%

C. 3.7% D. 370%

Lesson Quiz for Student Response Systems

7-5 Percents, Decimals, and Fractions

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

A. 143% B. 1.43% C. 14.3% D. 0.143%

Lesson Quiz for Student Response Systems

7-5 Percents, Decimals, and Fractions

3. Which of the following represents the

fraction as a percent?

A. 0.24% B. 24%

C. 2.4% D. 240%

Lesson Quiz for Student Response Systems

7-5 Percents, Decimals, and Fractions

4. Which of the following represents the

fraction as a percent?

A. 78.75% B. 68.75% C. 70% D. 60%

Lesson Quiz for Student Response Systems

7-5 Percents, Decimals, and Fractions

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%

Lesson Quiz for Student Response Systems