Pre-Algebra Chapter 6 - Ramsey School District

You can also express a fraction as a percent by first expressing the fraction
as a decimal and then expressing the decimal as a percent.
Study Tip
Fractions
When the numerator of a
fraction is less than the
denominator, the fraction
is less than 100%. When
the numerator of a
fraction is greater than the
denominator, the fraction
is greater than 100%.
Example 5
Fractions as Percents
Express each fraction as a percent. Round to the nearest tenth percent,
if necessary.
a. 7 8 b. 2 3
7 8 0.875
2 3 0.6666666…
87.5% 66.7%
3
c. 5 00 d. 1 5
7
3
5 00 0.006 1 5
2.1428571
7
0.6% 214.3%
Example 6
Compare Numbers
SHOES 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 0.20 or 20%
5
Since 27% is greater than 20%, the group that said they buy shoes twice
a year is larger.
Concept Check
Guided Practice
GUIDED PRACTICE KEY
1. Describe two ways to express a fraction as a percent. Then tell how you
know whether a fraction is greater than 100% or less than 1%.
2. OPEN ENDED Explain the method you would use to express 64 1 % as
2
a decimal.
Express each percent as a fraction or mixed number in simplest form and
as a decimal.
3. 30% 4. 12 1 %
2
5. 125%
6. 65% 7. 135% 8. 0.2%
Application
www.pre-alg.com/extra_examples
Express each decimal or fraction as a percent. Round to the nearest tenth
percent, if necessary.
9. 0.45 10. 1.3 11. 0.008
12. 1 4 13. 1 2
3
14.
9
6 00
15. MEDIA 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?
Lesson 6-4 Fractions, Decimals, and Percents 283