Fractions, Decimals and Percents

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Objective
Write percents as fractions, and vice
versa
Vocabulary
Percent
A ratio that compares a number to 100
Example 1 Percents as Fractions
Example 2 Percents as Fractions
Example 3 Fractions as Percents
Example 4 Fractions as Percents
Example 5 Fractions as Percents
Example 6 Fractions as Percents
NUTRITION In a recent consumer poll, 41.8% of the
people surveyed said they gained nutrition knowledge
from family and friends. What fraction is this? Write in
simplest form.
Write problem
41.8%
Remember: To remove the %
0.418
sign, must divide by 100
1
To make a fraction, put a 1 in
the denominator
Count the number of place
values to the right of the
decimal
1/6
NUTRITION In a recent consumer poll, 41.8% of the
people surveyed said they gained nutrition knowledge
from family and friends. What fraction is this? Write in
simplest form.
The are 3 place values
41.8%
Put 3 zeros in the denominator
0.418
418
1
1000
If you read the decimal it is four
hundred eighteen thousandths
Put all the digits to the right of
the decimal in the numerator
Find the GCF of 418 and 1000
1/6
NUTRITION In a recent consumer poll, 41.8% of the
people surveyed said they gained nutrition knowledge
from family and friends. What fraction is this? Write in
simplest form.
GCF = 2
41.8%
Divide the GCF into the
0.418
numerator and denominator
418  2
Add dimensional analysis
1000  2
Answer:
of the people
1/6
ELECTION In a recent election, 64.8% of registered
voters actually voted. What fraction is this? Write in
simplest form.
Answer:
of registered voters
1/6
Write
as a fraction in simplest form.
Write problem
Percent refers to 100 so put 100
in the denominator
Put
in the numerator
Divide numerator by denominator
Answer:
2/6
Write
as a fraction in simplest form.
Answer:
2/6
PRODUCE In one shipment of fruit to a grocery store,
5 out of 8 bananas were still green. Find this amount
as a percent.
Write the ratio as a fraction
Divide numerator by denominator
0.625
Answer: 62.5 %
Remember: To change a decimal
to a percent, divide by 100
Add the % sign
3/6
HOCKEY During a hockey game, the forward on one
of the teams scored 3 goals out of 8 shots taken. Find
this amount as a percent.
Answer: 37.5%
3/6
Write
as a percent. Round to the nearest hundredth.
Write the fraction
Divide numerator by denominator
0.41666
Answer: 41.67 %
Keep number on display of
calculator and write 5 digits to
the right of the decimal
Do not round until the answer
Remember: To change a decimal
to a percent, divide by 100 and
round
Add the % sign
4/6
Write
as a percent. Round to the nearest hundredth.
Answer: 73.33%
4/6
Write
as a percent.
Write the fraction
Divide numerator by denominator
0.45
45 %
Remember: To change a decimal
to a percent, divide by 100
Add the % sign
Answer: 45%
5/6
Write
as a percent.
Answer: 52%
5/6
Write
as a percent. Round to the nearest hundredth.
Write the fraction
Divide numerator by denominator
0.42857
Answer: 42.86 %
Keep number on display of
calculator and write 5 digits to
the right of the decimal
Do not round until the answer
Remember: To change a decimal
to a percent, divide by 100 and
round
Add the % sign
6/6
*
Write
as a percent. Round to the nearest hundredth.
Answer: 81.82%
6/6
Assignment
Lesson 7:5
Fractions, Decimals and
Percents
13 - 36 All
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