60% 12 % 40% 20 3 % Lesson 7 1. Quick Review 2/5. 83/400 Fraction

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1 Lesson 7 s and s Quick Review Answer the following: Suppose a roller coaster casts a shadow of 3.5 feet. At the same time, a nearby Ferris wheel casts a 9 foot shadow. If the roller coaster is 6 feet tall, how tall is the Ferris wheel? 76 feet Title Quick Review : : a ratio that compares a number to 00. EX) 80%, 80 out of 00, 80/00 = /5 **To write a PERCENT as a FRACTION ) Express the ratio as a fraction with a denominator of 00. ) Simplify if possible.! Example : s as s Write each percent as a fraction in simplest form. 3/5 60% Step : Simplify.! Example : s as s Write each percent as a fraction in simplest form. /8 % Step : Change to improper fraction. Step 3: Multiply and simplify. 0% 0 3 % /5 83/00

2 ! Example 3: Less Than % or Greater Than 00% 0.8% /5! Example : Less Than % or Greater Than 00% 75% 3 Step : Multiply by 0/0 to eliminate the decimal. Step 3: Simplify. Step : Convert to a mixed number and simplify. 0.% 50% /500 : **To write a FRACTION as a PERCENT Option : ) Write an equivalent fraction with a denominator of 00. ) Write as a percent. Option : Use a proportion for any type of fraction! Example 5: s as s 5%! Example 6: s as s 6 5 0% Step : Write the equivalent fraction with a denominator of 00. Step : Write the fraction as a percent. Step : Write the equivalent fraction with a denominator of 00. Step : Write the fraction as a percent.

3 3 0 30% 7 350% : Root Word: Cent Comes from the Latin word centum whi means hundred. There are 00 cents in one dollar. means per hundred or hundredths. : If the denominator is not a factor of 00 you can write fractions as percents by using a proportion. Example 7: s as s On her science quiz, Jessica got questions correct out of 6. Find Jessica's grade as a percent. 6 = n % Step : Write a proportion. Step : Cross multiply. Step 3: Divide by 6. Step : Simplify. Caitlyn has practiced playing the piano 5 out of the last 8 days. What percent is this? : In real world situations, the solution of the percent proportion is often a repeating decimal. In these cases, the percent is usually rounded. 6.5% 3

4 Example 8: Rounding s After a survey, Ling discovered that out of every eighth graders at his school play games online. Find the percent of eighth graders that play games online. Round to the nearest hundredth. Step : Write a proportion. Step : Cross multiply. Step 3: Divide. Step : Simplify % During baseball season, Hunter had 3 hits out of 55 at bats. Find Hunter's at bat percent. Round to the nearest hundredth. 6.8% Check your Understanding A cheetah can run about 5 / times as fast as a squirrel. What percent is this? 550% Of the students in Mrs. O's classes, 56 out of 8 are planning to go on a summer vacation. What percent is this? 3.75% On a recent Social Studies test, Miguel earned 80 out of 90 points. Find Miguel's grade as a percent. Found to the nearest hundredth. test practice If 95% of the seventh grade students are going on the trip to the museum, what fraction of the students are not going on the field trip? A) /0 C) 9/0 B) /0 D) 9/ % Check Your Understanding Test Practice CHALLENGE of the DAY What percent of the larger triangle shown is NOT shaded? Round to the nearest hundredth. CHALLENGE of the DAY Find the whole number value of x such that x x + 5 equals 50%. Explain your reasoing. Answer Answer Challenge Challenge

5 Complete Lesson 7- "Practice" wks. Homework 5