Fractions, Decimals, and Fractions, Decimals, and PercentsPercents

SWBAT model percents; write percents as SWBAT model percents; write percents as equivalent ratios and to write ratios as equivalent ratios and to write ratios as equivalent percents; write percents as equivalent percents; write percents as fractions and decimals and vice versa; fractions and decimals and vice versa;

compare fractions, decimals and percentscompare fractions, decimals and percents

DefinitionsDefinitionsPercent Percent A ratio or comparison of a quantity to 100A ratio or comparison of a quantity to 100

How would you write the following as a fraction? How would you write the following as a fraction? As a percentage? As a decimal? As a percentage? As a decimal?

Relating Percents, Fractions, and Relating Percents, Fractions, and DecimalsDecimals

To write a percentage as a fraction, the bottom To write a percentage as a fraction, the bottom number must ALWAYS be:number must ALWAYS be: 100100

To convert a fraction to a decimal: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 To convert a decimal to a percentage all you have to do is:have to do is: Multiply by 100Multiply by 100

To convert a percentage to a decimal:To convert a percentage to a decimal: Divide by 100 Divide by 100

ExamplesExamples

Rename each ratio as a percentRename each ratio as a percent 50/10050/100 3:103:10 60 to 100060 to 1000 9/209/20 4/54/5 7/507/50

ExamplesExamples

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

ExamplesExamples

Write each fraction or decimal as a Write each fraction or decimal as a percentpercent 4/104/10 0.380.38 5/85/8 0.9250.925

ExamplesExamples

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

ExamplesExamples

CompareCompare 4/10 ___ 40%4/10 ___ 40% 5/8 ___ 60%5/8 ___ 60% 2/5 ___ 35%2/5 ___ 35%

Try TheseTry These

0.560.56 56%56% 56/100 = 14/2556/100 = 14/25

24/2524/25 96%96% .96.96

9/209/20 45%45% .45.45

42%42% .42.42 42/100 = 21/5042/100 = 21/50

17.5%17.5% .175.175 175/1000 = 7/40175/1000 = 7/40