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1. 25. 25 25. =. =. =. 4. 100. 100 25. 1. 13. 325 25. 1. 325. 0.2. =. =. =. =. 3. 4. 4. 100 25. 500. 100. 100. 0.2 10. 2. =. =. =. =. 100 10. 1000. EXAMPLE 3. Writing a Percent as a Fraction. a . 25%. b . 325%. c . 0.2%. Survey.
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1 25 25 25 = = = 4 100 100 25 1 13 325 25 1 325 0.2 = = = = 3 4 4 100 25 500 100 100 0.2 10 2 = = = = 100 10 1000 EXAMPLE 3 Writing a Percent as a Fraction a.25% b.325% c.0.2%
Survey The circle graph below shows the results of a survey of how 500 students prefer to spend their time. EXAMPLE 4 Writing a Fraction as a Percent
40 40 a. b. What percent of students prefer to spend time with friends? What percent of those who didn’t answer “other” said “with friends”? 500 353 p p 100 100 = = 4000 = 500p 4000 = 353p 8 = p 11.33 = p ANSWER ANSWER 8%of all of the students prefer to spend time with friends. About 11% of the selected group said “with friends.” EXAMPLE 4 Writing a Fraction as a Percent
7 = 1. 35% = 35 100 20 = .35 35 100 for Examples 3 and 4 GUIDED PRACTICE Write the percent as a decimal and as a fraction in simplest form. = 0.35
= 140 100 140% 2. = 1.40 7 = 5 2 140 1 = 100 5 for Examples 3 and 4 GUIDED PRACTICE Write the percent as a decimal and as a fraction in simplest form. = 1.4
3. 0.75% = 0.75 100 = .0075 .75 3 75 = = 100 10000 400 for Examples 3 and 4 GUIDED PRACTICE Write the percent as a decimal and as a fraction in simplest form. = 0.0075
4. = 12.12 100 12.12% = .1212 12.12 303 = 100 2500 for Examples 3 and 4 GUIDED PRACTICE Write the percent as a decimal and as a fraction in simplest form. = 0.1212
5. 0.9 = (0.9 100)% = 09. for Examples 3 and 4 GUIDED PRACTICE Write the decimal or fraction as a percent. = 90%
6. 5.04 = (5.04 100)% = 504. for Examples 3 and 4 GUIDED PRACTICE Write the decimal or fraction as a percent. = 504%
7. = 0.05 = (0.05 100) % = 05. 1 20 for Examples 3 and 4 GUIDED PRACTICE Write the decimal or fraction as a percent. = 5%
8. = 0.375 = (0.375 100) % = 37.5 3 8 for Examples 3 and 4 GUIDED PRACTICE Write the decimal or fraction as a percent. = 37.5%