section 6.7 page 261 percents, decimals and fractions
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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!!