Lesson 7.1 Percents and Fractions Essential Question: How do you use a fraction to find a percent of a number?

What percent did you earn on the quiz? Before we start… On your last math quiz, you scored a 42 out of 50. What percent did you earn on the quiz?

What is a percent? “divided by 100” 27%= 27 100

How do you write a percent as a fraction? Write the number over 100. Reduce the fraction.

Write the percent as a fraction. 37% 50%

Write the percent as a fraction. 29% 45%

Write the percent as a fraction. 18% 75%

How do you write a fraction as a percent? Rewrite the fraction with a denominator of 100.

Write the fraction as a percent. 4 5 3 4

Write the fraction as a percent. 7 10 3 5

Write the fraction as a percent. 6 25 9 20

Random Number A computer randomly generates an integer from 1 to 10 Random Number A computer randomly generates an integer from 1 to 10. Find the probability as a percent that 8 is the integer generated.

How do you find the percent of a number? Write the percent as a fraction. Multiply. Simplify.

Find 60% of 75.

Find 70% of 900.

Find 25% of 200.

Find 20% of 40.

Tortoises A desert tortoise can go a year or more without drinking water. When it does drink, its body weight can increase by 40%. Suppose a desert tortoise weighs 15 pounds after a long period without water. How many pounds can the tortoise gain when it drinks?

Tennis In March of 2005, 14 of the top 100 women’s tennis players were from the United States. What percent of players were not from the United States?

Class President During an election 112 out of 200 students in seventh grade voted for Luke for class president. What percent of students did not vote for Luke?

Tennis Rackets Twenty-four percent of tennis rackets in a sporting goods store cost $50 or more. What percent cost less than $50?

Recycling In the United States, 10 states refund money for the return of bottles. What percent of states do not refund money for recycling of bottles?

Test Katherine correctly answered 80% of the questions on her Spanish test. The test had 60 questions. How many questions did Katherine answer incorrectly?

Mars The atmosphere of Mars is made up of about 95% carbon dioxide and about 3% nitrogen. About what percent of the atmosphere consists of gases other than carbon dioxide and nitrogen?

How do you use a fraction to find a percent of a number?

Ticket Out the Door In a survey of 85 people, 20% of them said they usually eat crackers with soup. How many people in the survey said they usually eat crackers with soup?