Daily Problem There are an estimated 53 billion dogs in the U.S. For every 20 people who own a dog, 19 pet and hug their dog daily. Write the fractions of people who pet and hug their dogs daily as a decimal
Fractions, Decimals, and Percents Unit One Curriculum Chapter 5 Text
GLE’s #1 Recognize and compute equivalent representations of fractions, decimals, and percents #2 Compare positive fractions, decimals, percents, and integers using symbols #9 Determine when an estimate is sufficient and when an exact answer is needed in real-life problems using decimals and percents
Objectives Write fractions as percents and percents as fractions Write percents as decimals and decimals as percents TLW:
Key Terms to Know Ratio- a comparison of two numbers by division Percent- when a ratio compares a number to 100 Multiple- the product of a number and any whole number Least Common Denominator- the least common multiple of two denominators
Ratio Comparison of two numbers by division. Can be written in several different ways –34 out of 100 –34:100 –34/100 Ratios show relationship between two numbers such as a sub-group to a general group
Percent A ratio with a denominator of 100 Means per 100 Identified by the symbol: % Used in Statistics to represent data
Connecting Fractions to Percents A fraction can be represented as a percent by finding its equivalent fraction with a denominator of x = When the denominator is 100, the numerator is the percent. So, in this case… 80% A fraction is a ratio, so 4:5 can also be expressed as…
Percents back to Fractions If a percent is the numerator of a fraction that has a denominator of 100…it should be obvious that to change a percent to a fraction…put it over % 100 Numerator 48 *Then simplify your fraction!!! ÷ 4 GCF =
Use Percent to Solve a Problem A student scored 16 out of 20 points on a quiz. Determine the student’s grade for the quiz by finding the percent. 16:20 x = percent 80%
Connecting Decimals to Percents A decimal can be represented as a percent by moving the decimal two places to the right %
Percents back to Decimals To change a percent back to a decimal…move the decimal back to the left two places. 28. % 0.28