EXAMPLE 3 Writing a Percent as a Fraction 25 100 = 100 25 25 25 = 1 4 = a. 25% 325 100 = 100 25 325 25 = 13 4 = 1 4 3 = b. 325% 0.2 100 = 100 10 0.2 10 = 2 1000 = 1 500 = c. 0.2%

EXAMPLE 4 Writing a Fraction as a Percent 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 What percent of students prefer to spend time with friends? a. What percent of those who didn’t answer “other” said “with friends”? b. 40 500 = p 100 40 353 = p 100 = 500p 4000 = 353p 4000 = p 8 = p 11.33 ANSWER 8% of all of the students prefer to spend time with friends. ANSWER About 11% of the selected group said “with friends.”

GUIDED PRACTICE for Examples 3 and 4 Write the percent as a decimal and as a fraction in simplest form. = 35 100 1. 35% = .35 = 0.35 35 100 = 7 20

GUIDED PRACTICE for Examples 3 and 4 Write the percent as a decimal and as a fraction in simplest form. 2. = 140 100 140% = 1.40 = 1.4 140 100 7 5 = 2 1

GUIDED PRACTICE for Examples 3 and 4 Write the percent as a decimal and as a fraction in simplest form. 3. = 0.75 100 0.75% = .0075 = 0.0075 75 10000 = 3 400 .75 100

GUIDED PRACTICE for Examples 3 and 4 Write the percent as a decimal and as a fraction in simplest form. = 12.12 100 4. 12.12% = .1212 = 0.1212 100 12.12 = 2500 303

GUIDED PRACTICE for Examples 3 and 4 Write the decimal or fraction as a percent. = (0.9 100)% 5. 0.9 = 09. = 90%

GUIDED PRACTICE for Examples 3 and 4 Write the decimal or fraction as a percent. 6. = (5.04 100)% 5.04 = 504. = 504%

GUIDED PRACTICE for Examples 3 and 4 Write the decimal or fraction as a percent. 7. 1 20 = 0.05 = (0.05 100) % = 05. = 5%

GUIDED PRACTICE for Examples 3 and 4 Write the decimal or fraction as a percent. 8. 3 8 = 0.375 = (0.375 100) % = 37.5 = 37.5%