1. Bell Work
Change each fraction to a decimal.
4/5
2/3
1/8

2. Learn to model percents and to write percents as equivalent fractions and decimals.
Learn to write decimals and fractions as percents.

3. Vocabulary
Percent – A ratio of a number to a hundred. The word percent means “per hundred.”
The symbol % means “percent.”

4. Modeling Percents Write the percent modeled by the grid. shaded total
_______ 66
100
___
= 66%

5. Modeling Percents Write the percent modeled by the grid. A. B. shaded
total
_______ 44
100
___
shaded
total
_______ 75
100
___
= 44%
= 75%

6. Writing Percents as Fractions
Write 28% as a fraction in simplest form.
28% = 28
100
Write the percent as a fraction with a denominator of 100. 7 25 =
Simplify. 7 25
So 28% can be written as

7. Fractions, Decimals, and Percents
The students at Westview Middle School are collecting cans of food for the local food bank. Their goal is to collect 2,000 cans in one month. After 10 days, they have 800 cans of food. What percent of their goal have they reached?

8. Fractions, Decimals, and Percents
200
400
600
800
1,000
1,200
1,400
1,600
1,800
2,000 1 5 2 5 3 5 4 5 5
0.2
0.4
0.6
0.8
1.0
20%
80%
40%
60%
100%
800
2000 2 5
The model shows that 800 out of 2,000 can be written as , ,
0.4, or 40%. The students have reached 40% of their goal.

9. Writing Decimals as Percents
Write 0.7 as a percent. 7 10 70
100
Write the decimal as a fraction with a denominator of 100.
0.7 = =
Write the numerator with a percent sign.
= 70%

10. Writing Decimals as Percents
Write 0.93 as a percent.
Move the decimal point two places to the right and add a percent sign.
0.93 =
93%
= 93%

11. Writing Fractions as Decimals and Percents5 8
Write as a percent. 5 8
= 5 ÷ 8
Use division to write the fraction as a decimal.
= .625
= 62.5%
Write the decimal as a percent.
To divide 5 by 8, use long division and place a decimal point followed by a zero after the 5.
8 5.00
Remember!
.625

12. Ordering Rational Numbers3 4 4 5
Order 17%, 0.25, , 0.1, , and 20% from least to greatest.
Step 1: Write the numbers as decimals with the
same number of decimal places. 3 4
= 0.75
17% = 0.17
0.25 = 0.25 4 5
= 0.80
0.1 = 0.10
20% = 0.20

13. Ordering Rational Numbers3 4 4 5
Order 17%, 0.25, , 0.1, , and 20% from least to greatest.
Step 2: Compare the decimals.
17% = 0.17
Step 3: Re-order numbers using original format.
0.25 = 0.25 3 4
= 0.75 3 4 , 4 5
0.1, 17%, 20%, .25,
0.1 = 0.10 4 5
= 0.80
20% = 0.20

14. Real-World Application
Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. Then solve.
If 27 out of 50 people have the newspaper delivered to their home, what percent of these people have the newspaper delivered to their home? 27 50
27 out of 50 =
Think: 27 ÷ 50 divides evenly.
Using pencil and paper is the best method.
= 0.54
= 54%
Write the decimal as a percent.
54% of the people have the newspaper delivered to their home.