2. Lesson 6-4 Warm-Up

3. Fractions, Decimals, and
Percents (6-4)
What is “percent”? How do you write a percent as a fraction or a decimal?
percent: a ratio that compares a number to 100
To write a percent as a fraction, make the numerator the percent and the denominator 100 (“out of 100”). Then, simplify the fraction. To write a percent as a decimal: turn it into a fraction first (then you can turn the fraction into a decimal by dividing) or simply move the decimal two places to the left.
Example: The following model shows 41 out of 100 squares shaded, or 41% of the big square shaded.
Example: Write 125% each percent as a fraction and a decimal.
Write as a fraction with a denominator of 100.
Then, simplify the fraction.
Write the improper fraction as a mixed number.
Divide the numerator by the denominator to change a fraction into a decimal.
125
100 25 5 4 = 5 4
= 1 1 4
5  4 = 1.25

4. Write each percent as a fraction or a mixed number.
Fractions, Decimals, and Percents
LESSON 6-4
Additional Examples
Write each percent as a fraction or a mixed number.
a. 30%
Write as a fraction with a denominator of 100. 30
100
Simplify. 3 10
b. 175%
Write as a fraction with a denominator of 100.
175
100
Simplify. 7 4
1 Write as a mixed number. 3 4

5. 7.3% = Write as a fraction with a denominator of 100.
Fractions, Decimals, and Percents
LESSON 6-4
Additional Examples
Express 7.3% as a decimal.
7.3% = Write as a fraction with a denominator of 100.
7.3
100
= 007.3   Divide by moving the decimal point left two places.
You may need to write one or more zeros.
= 0.073

6. Fractions, Decimals, and Percents (6-4) (7-1)
How do you write a fraction as a percent?
To write a fraction as a percent, find an equal fraction with a denominator of 100 (if the denominator is 100, the numerator will always be the percent, since percent means “out of 100”) or make a proportion and use cross products.
Example: According to the school cafeteria, 6 out of 25 students bring their lunch to school. What percent of the students bring their lunches to school?
Method 1: Proportion # %
Known (Part) 6 x
Unknown (Whole) 25
100
= Proportion . 6 25 x
100
25 • x = 6 • Cross products are equal.
25x = Simplify. 1 24
= Divide both sides by
25x 25
600 1 1
x = Simplify.
24% of the students bring their lunches..

7. Fractions, Decimals, and
Percents (6-4)
How do you write a fraction as a percent?
Method 2: Equal Fractions
= Write an equal fraction with a denominator
of 100 (since percents have 100 in the
denominator. 6 25
100
= Multiply the numerator by the same number
that you multiply the denominator by to
find the equivalent fraction with a
denominator of 100. 6 25 24
100 4
24% of the students bring their lunches..

8. = Write a proportion. Percents have 100 in the denominator.
Fractions, Decimals, and Percents
LESSON 6-4
Additional Examples 7 20
Write as a percent. 7 20
= Write a proportion. Percents have
100 in the denominator. p
100
= Find the fraction with denominator 100
that is equal to 7 20 35
100 5 7 20
= = 35% Write using a percent symbol. 35
100

9. 0.5714 Divide the numerator by the denominator.
Fractions, Decimals, and Percents
LESSON 6-4
Additional Examples
Four out of seven members of the chess club won a game at the district tournament. What percent of the chess club members won a game?
Write a fraction. 4 7
Divide the numerator by the denominator.
57.14%   Write as a percent.
About 57% of the chess club members won a game.

10. “Fractions, Decimals, and Percents” (6-4) (7-1)
How do you write a decimal as a percent?
To write a decimal as a percent, write the decimal as a fraction and change the fraction into a percent using proportions or equal fractions or move the decimal two places to the right. Method 1: Change the decimal to a fraction Example: Write as a percent. Method 2: Move the decimal 2 places to the right.
0.076 = Write the decimal as a fraction the way you
read it. 76
1000
= Divide the numerator by the same number
that you divide the denominator by to
find the equivalent fraction with a denominator
of 100. 76
1000
7.6
100
10
0.076 = 7.6%
Jump the decimal two places to the right.
= %

11. Write each decimal as a percent.
Fractions, Decimals, and Percents
LESSON 6-4
Additional Examples
Write each decimal as a percent.
a. 0.16
0.16 = 16
100
Write the decimal as a fraction.
= 16%
Write as a percent.
b. 0.03
0.03 = 3
100
Write the decimal as a fraction.
= 3%
Write as a percent.

12. Method 1 Rewrite as a fraction.
Fractions, Decimals, and Percents
LESSON 6-4
Additional Examples
Express as a percent.
Method 1 Rewrite as a fraction.
0.412 =
412
1,000 =
412 ÷ 10
1,000 ÷ 10 =
41.2
100
= 41.2%
Method 2 Move the decimal point.
0.412 = 41.2%

13. Write each percent as a fraction or mixed number, and as a decimal.
Fractions, Decimals, and Percents
LESSON 6-4
Lesson Quiz
Write each percent as a fraction or mixed number, and as a decimal.
1. 325% %
Write each as a percent.
5. Six out of fifteen students own skateboards. What percent of students own skateboards? 13 4
, or 3 ; 3.25 1 11
1,000
; or 0.011 3 5
201%
60%
40%