1. Do Now
Choose the best unit price. To receive credit you must show that you have worked out both prices.
A 32-oz. bottle of apple juice for $2.50 or
A 48 oz bottle of apple juice for $3.48.

2. Fractions, Decimals, and Percents
Chapter 7 Lesson 5
Fractions, Decimals, and Percents
Objective: Write percents as fractions and vice versa

3. The graph shows the results of a survey in which teens were asked to name the most important invention of the 20th century.
1. What percent of the teens said that the personal computer was the most important invention?
Percent of Teens
32%
2. How is this percent written as a ratio? 32
100
32:100 or
3. Simplify the ratio. 8 25

4. Put the percent over 100 then simplify
Recall
How do you write a percent as a fraction?
Put the percent over 100 then simplify

5. Example 8 25 32
100
32% = =

6. To change percents with decimals into fractions in simplest form
Write the percent as a fraction with a denominator of 100.
To eliminate the decimal point add the amount of zeroes there are decimal places.
3. Simplify.

7. Percents with decimals to fractions
Examples. %
100
168
1000 21 25

8. Write each percent as a fraction in simplest form.
6.2%
28.75%
28.75
100
2875
10,000 23 80
6.2
100 62
1000 31
500

9. To change percents with mixed numbers into fractions in simplest form
Change the mixed number into an improper fraction
Divide by 100 (you have to multiply by the reciprocal when dividing fractions)
Cross cancel and simplify

10. Percents with mixed numbers to fractions
8 ⅓ % 25 3 25 ÷
3 100 X 1 12

11. You try it!
81 ¼%
325 4
325 X 1 13 16
78 ¾%
315 4
315 X 1 63 80

12. To write a fraction as a percent
Create a proportion

13. Write each fraction as a percent
Write each fraction as a percent. Round to the nearest hundredth if necessary. 4 15 7 8
4 n =
7 n
8 100 =
26.67%
87.5%

14. Write each percent as a fraction in simplest form.
13.5% 27
200
18.75% 3 16
/3%
2/3
57 ½%
23/40