section 6.7 page 261 percents, decimals and fractions

Section 6.7Page 261

Percents, Decimals and Fractions

You can write any ratio or fraction as a percent.

• Example 1. Real-world problem solving– Forty-five calories in a slice of cheese pizza

are from fat. There are 160 total calories in a slice of cheese pizza. What percent of the calories are from fat?

100

45

160

45 = 45 ÷ 160 (Write as a division sentence)

0.28125 (Divide)

28.125% Express as a percent

Fat accounts for about 28% of the calories in one slice of cheese pizza.

Try it Out. Write each fraction as a percent.

25

8

5

3

75

9

= ? 32%

= ? 60%

50

45

= ?

= ?

12%

90%

Example 2 Real-world problem solving.

• An elephant sleeps about 15% of a day. What fraction of a day does an elephant sleep?

100

1515% = Now reduce!!

20

3 An elephant sleeps about 3/20 of every day.

Your turn!! Express each percent as a fraction in simplest form.

• Step 1:

20

19

Put number given over 100

Step 2: Reduce

95% Answer: 8% Answer: 25

2

200

9

100

7979% Answer

4.5% Answer:

To write a decimal as a percent, multiply it by 100, or move the

decimal point 2 places to the right.

• Example: 0.45 x 100 (move 2 places)= 45%

• Your turn: write each decimal as a percent!• 0.4 0.7593 1.05• Answers• 40% 75.9% 105%

To write a percent as a decimal, divide it by 100, or move the

decimal point 2 places to the left.

• Example: 264.5%.....(move 2 places)= 2.645

• Your turn: 2% 67.5% 125%

• Answers: 0.02 0.675 1.25

Assignment: Worksheet

• Have a great day!!