7-6 - East Penn School District
7-6 Percents, Decimals, and Fractions
I CAN write a decimal as a percent. I CAN write a fraction as a percent
.
7-6 Percents, Decimals, and Fractions
Example 1: Writing Decimals as Percents
Write the decimal as a percent.
Method 1: Use place value.
A. 0.7
0.7 =
__
10
___
100
Write the decimal as a fraction.
Write an equivalent fraction with
100 as the denominator.
70
100
Write the numerator with a percent symbol.
7-6 Percents, Decimals, and Fractions
Example 1: Writing Decimals as Percents
Write the decimal as a percent.
Method 2: Multiply by 100.
B. 0.4118
0.4118 • 100
41.18
%
Multiply by 100.
Add the percent symbol.
7-6 Percents, Decimals, and Fractions
You Try! Example 1
Write the decimal as a percent.
Method 1: Use place value.
A. 0.9
Write the decimal as a fraction.
9 • 10
10 • 10
___ =
90 %
Write an equivalent fraction with
100 as the denominator.
Write the numerator with a percent symbol.
7-6 Percents, Decimals, and Fractions
You Try! Example 1
Write the decimal as a percent.
Method 2: Multiply by 100.
B. 0.1225
0.1225 • 100
12.25%
Multiply by 100.
Add the percent symbol.
7-6 Percents, Decimals, and Fractions
Helpful Hint
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.
7-6 Percents, Decimals, and Fractions
Example 2: Writing Fractions as Percents
Write the fraction as a percent.
A. Method 1: Write an equivalent fraction with a denominator of 100.
__
25
___
100
Write an equivalent fraction with
100 as the denominator.
___
100
= 36 %
Write the numerator with a percent symbol.
7-6 Percents, Decimals, and Fractions
Example 2: Writing Fractions as Percents
B. Method 2: Use division to write the fraction as a decimal.
__
20
0.15
20 3 .00
–20
100
–100
0
Divide the numerator by the denominator.
0.15
= 15 %
Multiply by 100 by moving the decimal point right two places. Add the percent symbol.
7-6 Percents, Decimals, and Fractions
You Try! Example 2
Write the fraction as a percent.
A. Method 1: Write an equivalent fraction with a denominator of 100.
__
50
7 • 2
50 • 2
Write an equivalent fraction with
100 as the denominator.
___ =
14 %
Write the numerator with a percent symbol.
7-6 Percents, Decimals, and Fractions
You Try! Example 2
B. Method 2: Use division to write the fraction as a decimal.
__
8
0.875
8 7.000
Divide the numerator by the denominator.
0.875 = 87.5%
Multiply by 100 by moving the decimal point right by two places.
Add the percent symbol.
7-6 Percents, Decimals, and Fractions
Example 3:
Application
25 were self-employed. What percent of people with home offices were self employed?
__
25
7 • 4
25 • 4
28
100
28 %
Write an equivalent fraction with a denominator of 100.
28% of people with home offices were self-employed.
7-6 Percents, Decimals, and Fractions
You Try! Example 3
50 bought cars that were yellow. What percent of people that bought new cars bought yellow cars?
3
50
3 • 2
50 • 2
Write an equivalent fraction with a denominator of 100.
6
100
6 %
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
CAN YOU write a decimal as a percent?
CAN YOU write a fraction as a percent?
7-6 Percents, Decimals, and Fractions
Lesson Quiz
Write each decimal as a percent.
1. 0.26
26% 2. 0.419
41.9%
Write each fraction as a percent.
3.
__
5
20% 4.
__
16
56.25% school own their own car. What percent is this?
6.25%
7-6 Percents, Decimals, and Fractions
