2. FRACTIONS
DECIMALS
PERCENTS

3. Express as a decimal. Example: 3 7 5 Begin long division . 8 3 .003 7 5
Begin long division . 8 3
.00
Add decimal and zeros as needed
-24
Align decimal and divide 6
-56
Answer will: 4
-40
* Terminate OR
* Repeat

4. Express
as a decimal.
You try: 7 5 . 4 3
.00
-28 2
-20

5. Convert decimal to base 10 fraction; simplify
Examples:
Convert decimal to base 10 fraction; simplify 4 2
0.4 = = 10 5 35 7
0.35 = =
100 20 28 14 7
7.28 7 7 7 = = =
100 50 25

6. Convert decimal to base 10 fraction; simplify
You try
Convert decimal to base 10 fraction; simplify 8 4
0.8 = = 10 5 4 2 1
0.04 = = =
100 25 50 36 18 9
3.36 3 3 3 = = =
100 50 25

7. Move decimal point 2 places to the right and add the % sign.
Express as a percent
Examples:
Move decimal point 2 places to the right and add the % sign.
37.5 %
0.375 =
Convert to a percent
286.7 %
2.867 =

8. Convert decimals to percents
You Try
Convert decimals to percents
62.5 %
0.625 =
70 % .7 =
Make sure there are at least two digits at the decimal points; add zero where needed (this does not change the value of the number).

9. Move decimal point 2 places to the LEFT and remove the % sign.
Express % as a decimal
Example:
Move decimal point 2 places to the LEFT and remove the % sign.
56.25 %
.5625 =
1.25
125 % =

10. Express the percents as decimals
You try
Express the percents as decimals
97 %
.97 =
.035
3.5 % =
42.8 %
.428 =

11. Express as a percent. Example: 1 25 25 % = = 4 100
Set up an “ out of 100 ” proportion
Convert numerator
x 25 1 25
25 % = = 4
100
x 25
Check to see how you would convert the first denominator to 100.

12. Express fractions as percents by long division
You try:
Express fractions as percents by long division
87.5 %
0.875 =
125 %
1.25 =
37.5 %
.375 =

13. Percent of Change

14. Difference %
Original
100

15. 16 = x
Cross Multiply

16. 1600 = 50x
Solve for x
1600= 50x
X = 32%

17. Percent of Increase and Decrease
Follow this formula: percent change increase/decrease amount
original amount
Example:
Increase from $ to $ x
Decrease from 80 to 75 x
x = 25 %
x = 6.25%

18. Anjela became a
famous architect. She made
$90,000 in In 2005 she
made $120,000. What is the
percent of increase?

19. Finding the Discount and New Sale Price
Janie wants to buy a pair of shoes that cost $50. They are on sale for 15% off. What is the new price?
First…Change the percent into a decimal by dropping the percent sign and moving the decimal two places to the left.
15%
Second…Multiply the original price ($50) by the decimal (.15).
$50 x = ($7.50) This is the discount.
Third…Subtract the discount from the original amount; that is the amount Janie paid for the shoes.
$ $ = $ 42.50

20. Discount
Keeley wants to buy a DVD that costs $24. It is on sale for 25% off. After the sale, how much will Keeley pay for the DVD?
$21.50 b. $1.00 c. $6.00 d. $18.00
A sofa cost $1,200. It is on sale for 30% off. What is the new price of the sofa?
a. $120 b. $360 c. $840 d. $1560
Review

21. Answers D C

22. Susie made $500 on commission.
Finding Commission
Susie makes 5 % commission on the stocks that she sells. If she sells $10,000 in stocks, how much commission does she make?
First…Change the percent into a decimal by dropping the percent sign and moving the decimal two places to the left. 5%
Second… Multiply the amount sold ($10,000) by the decimal (.05).
$10,000 x .05 = $500.00
Susie made $500 on commission.

23. Commission
James just sold a $50,000 vehicle. He makes 12% commission. How much commission did he make on his sale?
$44,000 b. $6,000 c. $38,000 d. $600
Barry sells real estate. He just sold a house for $300,000. If he receives 8% commission, how much does he earn?
a. $2,400 b. $240 c. $24,000 d. $324,000
Review

24. Answers B C

25. Finding Tax
John bought a new suit. His suit cost $ He has to pay 6% sales tax on top of that. What was the total amount that John paid?
First…Change the percent into a decimal by dropping the percent sign and moving the decimal two places to the left. 6%
Second…Multiply the amount of the suit by the decimal.
$125 x = ($7.50)
Third…Add the sales tax to the original amount.
$ $7.50 = $132.50
This is the tax!

26. Tax
A bath tub costs $ How much will the tub cost after paying sales tax if the tax is 6%?
$ b. $ c. $ d. $
A blouse cost $ A pair of pants cost $20. If Jane buys both the shirt and the blouse and pays 4% sales tax, how much will it cost all together?
a. $ b. c. $ c. $ d. $47.00
Review

27. Answers C A

28. Simple Interest
Simple Interest is the interest paid only on the principal.
The formula is: I = p r t means to multiply!
Example:
Jamie invested $700 at 5% for 6 years. How much simple interest did she earn?
Step 1: Change the decimal into a percent % = .05
Step 2: Plug the numbers into the formula I =
Step 3: Multiply! I = $ 210