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Welcome to IRSC’s LIVE Virtual Lesson on:

Welcome to IRSC’s LIVE Virtual Lesson on: . Converting Between Fractions, Decimals and Percents Instructor: Lara DiMartino. How to participate in this session:. Raising your hand. What you will learn today:. How to change a: Fraction to a decimal. Fraction to a percent.

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Welcome to IRSC’s LIVE Virtual Lesson on:

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Presentation Transcript

  1. Welcome to IRSC’s LIVE Virtual Lesson on: Converting Between Fractions, Decimals and Percents Instructor: Lara DiMartino

  2. How to participate in this session:

  3. Raising your hand

  4. What you will learn today: How to change a: • Fraction to a decimal. • Fraction to a percent. • Decimal to a percent. • Decimal to a fraction. • Percent to a decimal. • Percent to a fraction.

  5. What are equivalent numbers? Two numbers that are found in the same place on the number line. 0.5 = 1/2 0 1 2 3 *They have the same value.

  6. Example: 1 A quarter can be written...       • As a percentage: 25% • As a decimal: 0.25 • As a fraction: 25/100 ->1/4

  7. Example: 2 Half can be written...       • As a percentage: 50% • As a decimal: 0.5 • As a fraction: 50/100 1/2

  8. Example: 3 Three quarters can be written...       • As a percentage: 75% • As a decimal: 0.75 • As a fraction: 75/100  3/4

  9. Example: 4 One whole can be written...       • As a percentage: 100% • As a whole number: 1 • As a fraction: 100/100 = 1

  10. Notes: • Fractions and decimals represent the same things: numbers that are not whole numbers. • Percent means "out of 100.“ • 0.25 is the same as .25 • 1.0 is the same as 1

  11. Repeating Decimals A repeating decimal, also called a recurring decimal, is a number whose decimal repeats over and over. The repeating portion is marked with a line called a vinculum. Example: 1/3 = 0.33333333  0.3 2/3 = 0.66666666  0.6 1/7 = 0.142857142857142857   0.142857

  12. From a Fraction to a Decimal *Remember fractions are division problems. ¾ is 3 divided by 4. Divide the denominator into the numerator. ¾ = 0.75

  13. From a Decimal to a Percent 1. Move the decimal 2 spaces to the right. • Add a percent sign. 0.25  25%

  14. From a Fraction to a Percent • First change the fraction to a decimal. • Then change the decimal to a percent. • Add a percent sign. 2/5 = 0.4 = 40% Divide Move 2 spaces Add a %

  15. From a Decimal to a Fraction You must use your understanding of place value. 0.45 = 45/100(Then reduce!)  9/20 tenths hundredths

  16. Decimal to a Fraction Continued: • Make the given number (minus the decimal) the numerator. • Determine the place value of the number that is furthest to the right, and make that the denominator. Ex: 0.8 = 8/10 Then reduce to … 4/5 tenths place

  17. From a Percent to a Decimal 34% = 0.34 1. Move the decimal 2 spaces to the left. 2. Drop the percent sign.

  18. From a Percent to a Fraction 80% 80/100 We know that percent means “out of 100”, so… • We put 80 over 100. • Then reduce! 4/5

  19. Any Questions? Type your questions in the chat window please for whiteboard practice.

  20. Print your participant window. • Why? To email to your instructor as proof of attendance. To get 1 hour of credit towards your 10 hours this week. • How? Place your cursor and left click your mouse on the participant window. On your keyboard, hold down the SHIFT and PRINT SCREEN keys. Then open a Word document and paste (Ctrl + V). Last, attach your word document to an email and send it to your instructor.

  21. Final Comments • This session has been recorded for you to play back and view at any time. http://livevirtuallessons.wordpress.com/ • If you have any questions regarding this topic at a later time, don’t hesitate to contact your instructor. • Also, don’t forget to use the Smarthinking tutor feature within your class site. A tutor is available to you 24 hours a day.

  22. Thank you for coming! I hope you will take advantage of our future LIVE virtual lessons and will attend some of those sessions as well. Have a great day!

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