1. Learn to compare and convert between fractions, decimals, and percents.

2. The word percent means out of 100
The symbol for percent is %.
Percents can also be written as
fractions or decimals for
calculation purposes.

3. Divide numerator by denominator Decimal  fraction
Fraction  decimal
Divide numerator by denominator
Decimal  fraction
Put decimal over place value and simplify
Percent  decimal
Divide by 100 (moves decimal left 2 places)
Decimal  percent
Multiply by 100 (moves decimal right 2 places)
Fraction  percent
Change to decimal then percent (or use a proportion)
Percent  fraction
Put percent over 100 then simplify

4. Example A
Write 29% as a fraction
in simplest form.
Write 45% as a fraction
in simplest form. 29 45
÷ 5 9 =
100
100 20
÷ 5

5. Example B 9
 10 90 2
 20 40 =
= 90% =
= 40% 10
100 5
100
 10
 20

6. Example C 5 x 3 x = = 3
100 8
100
= 37.5%
= %

7. Example D
Write the following percents as a decimal.
75%
0.4%
168%
= 0.75
= 0.004
= 1.68
Divide by 100 (move decimal 2 places to the left)

8. Example E
Write the following decimals as a percent.
0.62 1
2.3
0.005
= 230%
= 0.5%
= 62%
= 100%
Multiply by 100 (move decimal 2 places to the right)

9. Example F 3 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

10. Order 17%, 0.25, , 0.1, , and 20% from least to greatest.
Example F continued 3 4 4 5
Order 17%, 0.25, , 0.1, , and 20% from least to greatest.
Step 2: Graph the numbers on the number line.
Step 3: Compare the decimals.
0.10 < 0.17 < 0.20 < 0.25 < 0.75 < 0.80
From least to greatest, the numbers are: 0.1, 17%,
20%, 0.25, , . 3 4 5

11. Extra Example 1 2 3 4
Order 12%, 0.20, , 0.8, , and 40% from least to greatest.
Step 1: Write the numbers as decimals with the
same number of decimal places. 1 2
= 0.50
12% = 0.12
0.20 = 0.20 3 4
= 0.75
0.8 = 0.80
40% = 0.40

12. Extra Example continued1 2 3 4
Order 12%, 0.20, , 0.8, , and 40% from least to greatest.
Step 2: Graph the numbers on the number line.
Step 3: Compare the decimals.
0.12 < 0.20 < 0.40 < 0.50 < 0.75 < 0.80
From least to greatest, the numbers are: 12%,
0.20, 40%, , , 0.8. 1 2 3 4

13. Fraction Decimal percent
Complete the table below by converting the fraction, decimal, or percent into its other forms.
Fraction
Decimal
percent
1/8
0.625
75%
100%
1.2
5/4

14. Lesson Quiz
1. Write 0.65 as a percent.
65% 6 10
2. Write as a percent.
60%
3. If 36 out of 80 people surveyed have been on a boat, what percent of these people have been on a boat?
45%

15. Lesson Quiz for Student Response Systems
1. Which of the following represents 0.52 as a percent?
A. 52%
B. 26%
C. 13%
D. 4%

16. Lesson Quiz for Student Response Systems
2. Which of the following represents 0.08 as a percent?
A. 80%
B. 40%
C. 28%
D. 8%

17. Lesson Quiz for Student Response Systems
7 10
3. Which of the following represents as a percent?
A. 7%
B. 17%
C. 70%
D. 77%

18. Lesson Quiz for Student Response Systems
2 5
4. Order 0.2, 14%, 0.63, and in order from least to greatest.
A. 0.2, 14%, , 0.63 C. 14%, 0.2, , 0.63
B. 14%, 0.2, 0.63, D. 0.63, , 0.2, 14%
2 5
2 5
2 5
2 5