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7-6 Percents, Decimals, and Fractions
Warm Up
Lesson Presentation
Problem of the Day
Lesson Quizzes
7-6 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
___
7-6 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%
7-6 Percents, Decimals, and Fractions
Learn to write decimals and fractions as percents.
7-6 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.
7-6 Percents, Decimals, and Fractions
Additional Example 1B: Writing Decimals as Percents
Write the decimal as a percent.
Method 1: Use place value.
0.16
Write the decimal as a fraction.0.16 = 16 100
__
16100
___ = 16% Write the numerator with a percent symbol.
7-6 Percents, Decimals, and Fractions
Additional Example 1C: 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.
7-6 Percents, Decimals, and Fractions
Additional Example 1D: Writing Decimals as Percents
Write the decimal as a percent.
Method 2: Multiply by 100.
0.067
Multiply by 100.0.067 • 100
6.7% Add the percent symbol.
7-6 Percents, Decimals, and Fractions
Check It Out: Example 1A
Write the decimal as a percent.
Method 1: Use place value.
0.9
Write the decimal as a fraction.
Write an equivalent fraction with 100 as the denominator.
0.9 = 910
__
9 • 1010 • 10
_______ = 90100
___
90100
___ = 90% Write the numerator with a percent symbol.
7-6 Percents, Decimals, and Fractions
Check It Out: Example 1B
Write the decimal as a percent.
Method 1: Use place value.
0.31
Write the decimal as a fraction.0.31 =
31100
___ = 31% Write the numerator with a percent symbol.
31100
7-6 Percents, Decimals, and Fractions
Check It Out: Example 1C
Write the decimal as a percent.
Method 2: Multiply by 100.
0.1225
Multiply by 100.0.1225 • 100
12.25% Add the percent symbol.
7-6 Percents, Decimals, and Fractions
Check It Out: Example 1D
Write the decimal as a percent.
Method 2: Multiply by 100.
0.023
Multiply by 100.0.023 • 100
2.3% Add the percent symbol.
7-6 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
7-6 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.
7-6 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.
7-6 Percents, Decimals, and Fractions
Check It Out: Example 2A
Write the fraction as a percent.
Method 1: Write an equivalent fraction with a denominator of 100.
Write an equivalent fraction with 100 as the denominator.
7 • 250 • 2
______ = 14100
___
14100
___ = 14% Write the numerator with a percent symbol.
750
__
7-6 Percents, Decimals, and Fractions
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.
7-6 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.
7-6 Percents, Decimals, and Fractions
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.
7-6 Percents, Decimals, and Fractions
The number line below shows common equivalent fractions, decimals, and percents.
7-6 Percents, Decimals, and Fractions
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
7-6 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%
7-6 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
7-6 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
7-6 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
7-6 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
7-6 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