1. Help Session KU076 Basics of Percent: Fractions This session has audio from the host only. Please make sure your speakers, headset, or earphones are connected and your volume is turned up. You may need to adjust your volume when the session begins. If you cannot type to the host, hold down the FN key (lower left of the keyboard) and hit F11 (upper middle) at the same time. If you have any technical issues during the seminar – including loss of audio – please try to log out and log back in. If that does not work, call Kaplan University Tech Support at 866-522-7747.

2. Basics of Percent: Fractions Developed by Angela Lavine, PhD

3. What you will learn…. How to convert between fractions, decimals, percents & mixed numbers

4. Terms….  Fraction – a fractions is simply a part of a whole.  For example: A child has a 10 slice pizza, she eats 2 slices. A fraction for this would be: 2/10 or 1/5  Percentage – A rate per 100. Parts of the whole.  Using the example above, what percentage of the whole is eaten?  2 out of 10 slices = 20% of the pizza eaten  Mixed Numbers – a whole number plus a fraction. Example: 1 ½

5. Explanation  Why convert a fraction into a percentage?  You may find it easier to compare two or more numbers by looking at them as a percentages than as fractions.

6. Explanation To write a PERCENT as a FRACTION: 1.Write the percent as the numerator with a denominator of 100:  10%  10/100 2. Simplify (put in lowest possible terms – look for the GCF):  10/100 = 1/10  To find the Greatest Common Factor (GCF): List the factor of each…  10: 1, 2, 5, 10  100: 1, 2, 4, 5, 10, 20, 25, 50, 100  10 is the GCF of both numbers  Take that factor and divide numerator and denominator by it  10/10 = 1  100/10 = 10 Simplest form: 10 % = 1/10

7. Worked examples To write a PERCENT as a FRACTION:  42%  42/100 = (simplify * find the GCF) =  42: 1, 2, 3, 6, 7, 14, 21, 42  100: 1, 2, 4, 5, 10, 20, 25, 50, 100  GCF: 2  42/2 = 21  100/2 = 50  42% = 21/50

8. Practice Problems Write 68% as a fraction. Write 25% as a fraction.

9. Solutions  68% 68/100 68: 1, 2, 4, 17, 34, 68 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 GCF: 4 68/4 = 17 100/4 = 25 68% = 17/25  25% 25/100 25: 1, 25 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 GCF: 25 25/25 = 1 100/25 = 4 25% = 1/4

10. Explanation How to write a FRACTION as a PERCENT: 1.Divide the numerator by the denominator: 1/5 =.2 2.Multiply by 100.2 * 100 = 20 1/5 = 20%

11. Worked Examples Write the following FRACTIONS as PERCENTAGES: 3/5 = 3/5 =.6.6 * 100 = 60 3/5 = 60% 21/43 = 21/43 =.49.49 * 100 = 49 21/43 = 49%

12. Practice Problems Write the following FRACTIONS as PERCENTAGES: 73/819/1327/31

13. Solutions 73/81 73/81 =.9.9 * 100 = 90 73/81 = 90% 9/13 9/13 =.69.69 * 100 = 69 9/13 = 69% 27/31 27/31 =.87.87 * 100 = 87 27/31 = 87%

14. Explanation To write a FRACTION as a MIXED NUMBER: 1. When the NUMERATOR is larger than the DENOMINATOR, think of the problem as a division problem to get the mixed number: 5/2 = 5/2 = 2 with 1 remaining Put the remaining number over the original DENOMINATOR 5/2 = 2 ½ You now have a MIXED NUMBER.

15. Practice Problems Write the following FRACTIONS as MIXED NUMBERS: 10/311/723/3

16. Solutions 10/3 10/3 = 3 with 1 remaining 10/3 = 3 1/3 11/7 11/7 = 1 with 4 remaining 11/7 = 1 4/7 23/3 23/3 = 7 with 2 remaining 23/3 = 7 2/3

17. Explanation To write a MIXED NUMBER as a PERCENTAGE: 1. Convert the MIXED NUMBER to an IMPROPER FRACTION: 2 ½ = Multiple the DENOMINATOR by the WHOLE NUMBER 2 * 2 = 4 Add the NUMERATOR 4 + 1 = 5 Use the original DENOMANTOR: 5/2 You now have a an IMPROPER FRACTION. 2. Take your fraction and follow the steps to convert to a PERCENTAGE: 2. Take your fraction and follow the steps to convert to a PERCENTAGE: 5/2 = 2.5 2.5 * 100 = 250 250%

18. Practice Problems Write the following MIXED NUMBERS as PERCENTAGES: 3 1/3 1 4/7

19. Solutions 3 1/3 3 * 3 = 9 9 + 1 = 10 10/3 10/3 = 3.33 3.33 * 100 = 333 333% 1 4/7 7 * 1 = 7 7 + 4 = 11 11/7 11/7 = 1.57 1.57 * 100 = 157 157%

20. Wrapping Up FRACTIONS can easily be converted in PERCENTAGES, DECIMALS & MIXED NUMBERS and vise versa. You can convert to make the numbers easiest for you to analyze and help you to complete any problems successfully. ***GOOD LUCK!***

21. Tutoring/Question Time We have covered our topic for this evening.We have covered our topic for this evening. The remainder of the time will be devoted to answering your questions. The remainder of the time will be devoted to answering your questions. If you do not have questions, feel free to log off.If you do not have questions, feel free to log off. If you do have questions, please type them in now, and I will help you in any way that I can.If you do have questions, please type them in now, and I will help you in any way that I can.