Fractions, Decimals, and Percents SWBAT model percents; write percents as equivalent ratios and to write ratios as equivalent percents; write percents as fractions and decimals and vice versa; compare fractions, decimals and percents

Definitions Percent A ratio or comparison of a quantity to 100 A ratio or comparison of a quantity to 100 How would you write the following as a fraction? As a percentage? As a decimal?

Relating Percents, Fractions, and Decimals To write a percentage as a fraction, the bottom number must ALWAYS be: To convert a fraction to a decimal: Divide the numerator by the denominator Divide the numerator by the denominator To convert a decimal to a percentage all you have to do is: Multiply by 100 Multiply by 100 To convert a percentage to a decimal: Divide by 100 Divide by 100

Examples Rename each ratio as a percent 50/100 50/100 3:10 3:10 60 to to /20 9/20 4/5 4/5 7/50 7/50

Examples Rename each percent as a fraction in simplest terms 25% 25% 35% 35% 60% 60% 84% 84% 4% 4%

Examples Write each fraction or decimal as a percent 4/10 4/ /8 5/

Examples Write each percentage as a decimal and as a fraction in simplest form 70% 70% 35.5% 35.5% 68.67% 68.67% 18 ¾% 18 ¾%

Examples Compare 4/10 ___ 40% 4/10 ___ 40% 5/8 ___ 60% 5/8 ___ 60% 2/5 ___ 35% 2/5 ___ 35%

Try These % 56% 56/100 = 14/25 56/100 = 14/2524/25 96% 96% /20 45% 45% %.42 42/100 = 21/5017.5% /1000 = 7/40