1 / 14

Fractions

Fractions. Addition and Subtraction. A tutorial by Mr. Michael Braverman Trenton Public Schools. What are Fractions?. Pieces of whole numbers Such as ½ of a pizza ¾ of an hour Ratios (ways to compare two numbers) Parts of a whole/parts available: Ex: 2 wins out of 5 games (2/5)

pillan
Download Presentation

Fractions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Fractions Addition and Subtraction A tutorial by Mr. Michael Braverman Trenton Public Schools

  2. What are Fractions? • Pieces of whole numbers • Such as ½ of a pizza • ¾ of an hour • Ratios (ways to compare two numbers) • Parts of a whole/parts available: • Ex: 2 wins out of 5 games (2/5) • 4/5 dentists surveyed recommend a certain brand of gum.

  3. What are Fractions 1 1 1 1 1 1 1 Graphically: Assume each gray box is one whole unit. 3 3 3 4 4 4 4

  4. + What are Fractions 1 1 1 3 2 1 1 1 1 Suppose you had the following addition problem: 4 3 3 3 3 4 4 4 4

  5. + 1 1 1 3 1 2 1 Suppose you had the following addition problem: 3 3 4 4 3 4 4 You cannot add these together directly because they are different sizes. Instead, you need to make each box the same size: Instead, you need to make each box the same size:

  6. + 1 1 1 1 1 3 2 Suppose you had the following addition problem: 3 3 4 4 4 4 3 So…divide the thirds into four pieces each and the fourths into three pieces each to get twelfths.

  7. + 8 12 9 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 + 1 1 3 2 1 2 1 1 3 4 3 3 4 4 4 4 3 3 So…divide the thirds into four pieces each and the fourths into three pieces each to get twelfths. Suppose you had the following addition problem:

  8. + + 8 12 9 12 5 12 17 12 1 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 + 3 3 2 2 3 2 4 4 4 3 3 3 Suppose you had the following addition problem:

  9. + Note that: 8 4 2 12 4 3 9 3 3 12 3 4 5 12 17 12 1 8 12 9 12 3 2 4 3

  10. + Note that: This sets up a Super Shortcut 8 4 2 12 4 3 9 3 3 12 3 4 17 12 5 12 1 8 12 9 12 3 2 4 3

  11. + 3=9 3 4 2=8 3 2 + 4 3 5 12 17 12 1 3  4=12 8 12 9 12 3 2 4 3 3 2 4 4 3 3

  12. + 3=9 3 4 2=8 3 2 + 4 3 17 12 5 12 1 3  4=12 8 12 9 12 3 2 4 3 9 8 8 + 9 12 3 2 + 4 4 3 3 12

  13. Try These:

  14. Try These:

More Related