Fractions & Percents

1. Fractions & Percents Expressing Percents as Fractions and Fractions as Percents

2. Percents A percent is a part to whole ratio that compares a number to 100. Percent comes from the Latin word centum, which means “hundred”. To write a percent as a fraction, express the ratio as a fraction with a denominator of 100. 80% means 80 out of 100 or 80/100.

3. Percents as Fractions Example: Express 45% as a fraction. Express 5% as a fraction.

4. Examples: Express percents as fractions: 3 3 % = 100 60 60 % = 100 180 180 % = 100

5. Your TurnExpress Percents as Fractions 1. 45% 2. 7% 3. 223%

6. Percents as Fractions • On a radio station’s top song countdown, 58% of the songs were sung by women. What fraction of the songs were sung by women? 58% = Can you express the fraction in reduced form?

7. Fractions as Percents • A fraction represents a part of a whole. • The numerator represents a number of equal parts. The denominator (which cannot be zero) indicates how many of those parts make up a whole. • Fraction comes from the Latin word fractus which means “broken”. • To write a fraction as a percent, write an equivalent fraction with a denominator of 100

8. Express as a percent. Example: Set up an equivalent fraction with a denominator of 100. Convert numerator x 25 1 25 25 % = = 4 100 x 25 What would you have to multiply the denominator “4” by to get to 100?

9. Example #2 Express as a percent. x 20 60 3 60 % = = 5 100 x 20

10. 3. 4. 80% 5% 16% 90% Fractions as PercentsYour Turn

11. Fractions as Percents • You buy a shirt that is cotton, • polyester, and the rest is linen. • a) What percent of the shirt is cotton? • b) What percent of the shirt is polyester? • c) What percent of the shirt is linen? • 25% • 60% • 15%

12. QUESTIONS?