A percent is an equivalent fraction out of 100.

**100%**means 100/100

To find 100% you divide by 1.

**50%**means 1/2 or 50/100

To find 50% you divide by 2.

**25%**means 1/4 or 25/100

To find 25% you divide by 4.

**10%**means 10/100

To find 10% you divide by 10.

**1%**means 1/100

To find 1% you divide by 100.

**Representing Percents**

180%

0.6%

12 3/4%

**Converting Percents, Fractions and Decimals**

**3/40**- First you divide the numerator by the denominator. Then you multiply the decimal by 100 to get your percent.

3 divided by 40 = 0.075

0.075 x 100 = 7.5%

**5.98**- First you multiply by 100. To find the fraction, you count the amount of digits there are. In this case there are 3.

5.98 x 100 = 598%

The fraction would be 598/100.

**750%**- First you divide the percent by 100. You divide by 100 becausena percent is equivalent to 100 so you have to do the opposite operation.

750 divided by 100 = 7.5

In this case, it would be 7 1/2.

**Show How You Know**

**20% of 60**

20 divided by 100 = 0.20

0.20 x 60 = 12

20% of 60 is 12.

**0.1% of 40**

0.1 divided by 100 = 0.001

0.001 x 40 = 0.04

0.1% of 40 is 0.04.

**250% of 400**

250 divided by 100 = 2.5

2.5 x 400 = 1000

250% of 400 is 1000.

**Question 3 on page 148**

A. 15 ÷ 100= 0.15, 0.15 x 200 = 30, 30 + 200 = 230

B. 10 ÷ 100 = 0.1, 0.1 x 230 = 23, 23 + 230 = 253

C. 25 ÷ 100 = 0.25, 0.25 x 200 = 50, 50 + 200 = 250

**Kyle is incorrect.**

A

**Discount**is what you save.
A

**Total Price**is what you pay altogether including tax.
A

**Sale Price**is what you pay.**Show How You Know on page 148**

**Which is a better buy? What is the final price?**

**Plate collection - $68.00**

Store A - 50% off one day only

68 ÷ 2 =

**$34**
Store B - 25% off one day followed by 25% off the reduced price the second day

25 ÷ 100 = 0.25

0.25 x 68 = $17

$68 - $17 = $51

$51 x 0.25 = $12.75

$51 - $12.75 =

**$38.25****Store A is a better buy.**

**Video:**

http://www.youtube.com/watch?v=LQUy83xFL5E

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