Expressing Fractions and Percents
Fractions and percents are fundamental mathematical concepts. Learn how to convert percents to fractions and fractions to percents using simple steps and examples. Understand the relationship between percents and fractions to enhance your math skills effectively.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
Fractions & Percents Expressing Percents as Fractions and Fractions as Percents
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.
Percents as Fractions Example: Express 45% as a fraction. 45 100 Express 5% as a fraction. 5 100
Examples: Express percents as fractions: 3 3 % 100 60 60 % 100 180 180 % 100
Your Turn Express Percents as Fractions 45% 45 1. 100 7 2. 7% 100 223 3. 223% 100
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% = 100 58 58 Can you express the fraction in reduced form? 29 100 50
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
1 4 Example:Express as a percent. 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?
Example #2 3 Express as a percent. 5 x 20 60 3 60 % = = 5 100 x 20
Fractions as Percents Your Turn 4 1. 1. 80% 5 1 2. 2. 5% 20 4 3. 3. 16% 25 9 4. 4. 90% 10
Fractions as Percents 1 3 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? 4 5 a) 25% b) 60% 15% c)
