1. Chapter 6 Lesson 4 Fractions, Decimals, & Percents Pgs. 281-285
What you will learn:
Express percents as fractions and vice versa
Express percents as decimals and vice versa

2. Vocabulary & Key Concept
Percent (281): a ratio that compares a number to 100
Key Concept (282): To write a percent as a decimal, divide by 100 and remove the percent symbol. To write a decimal as a percent, multiply by 100 and add the percent symbol.

3. To write a percent as a fraction, express the ratio as a fraction with a denominator of Then simplify if possible. Notice that a percent can be greater than 100% or less than 1%.
Example 1 Percents as Fractions
Express each percent as a fraction in simplest form.
30% B. 135%
30 = = 27 or 1
C. 0.2% D %
0.2  10 = = 1
 100
50  = 50 = 1 7 20 2 3 2 3
Multiply by 10 to eliminate 10
the decimal in the numerator.

4. To write a fraction as a percent, write an equivalent fraction with a denominator of 100.
Example 2: Express each fraction as a percent
4  20 = 80 or 80%
14  12.5 = 175 = 175%

5. Remember that percent means per hundred
Remember that percent means per hundred. In the previous examples, you wrote percents as fractions with 100 in the denominator. Similarly, you can write percents as decimals by dividing by 100.
Example 3: Percents as Decimals
A. 61% B. 4%
61 = = .04
C. 223% D. 0.9%
223 = =
Don’t forget, to divide a number by 100 move the decimal point
two places to the left. To multiply a number by 100, move the
decimal point two places to the right.

6. Example 4: Decimals as Percents
Express each decimal as a percent.
A 100 = 35%
B 100 = 9%
C 100 = .42%
D 100 = 227%

7. Example 5: Fractions as Percents
Express each fraction as a percent. Round to the nearest tenth percent, if necessary.
A = .28 = 28%
25 Divide the numerator by the denominator, then move
the decimal two places to the right.
B = = .6%
2500
10 = = 333.3% 3 _

8. Example 6: Compare Numbers
In a survey, one-fifth of parents said that they buy shoes for their children every 4-5 months while 27% of parents said that they buy shoes twice a year. Which of these groups is larger?
Write one-fifth as a percent. Then compare.
1 = .20 or 20% 5
Since 27% is greater than 20%, the group that said they buy shoes twice a year is larger.

9. Your Turn! Express each percent as a fraction or mixed number in simplest form AND as a decimal.
65%
B %
C. 0.8% 20 17
100
125

10. Your Turn, Again. Express each decimal or fraction as a percent
Your Turn, Again! Express each decimal or fraction as a percent. Round to the nearest tenth percent, if necessary.
1.3 3
600 12 9
130%
= 0.5%
= %

11. One More!
In a survey, 55% of those surveyed said that they get the news from their local television station while three-fifths said that they get the news from a daily newspaper. From which source do more people get their news?
Compare 55% and three-fifths.
Write three-fifths as a percent.
3 = 0.60 = 60% 5
55% < 60%
So it’s the
Daily newspaper.

12. Extra Practice by
the door on your
way out!