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Wednesday, December 5, 2012

Algebra Honors (Periods 5 & 6)


Adding & Subtracting Fractions  6-5
In chapter 2 Section 9 we reviewed adding and subtracting fractions.

With that we found we could do the reverse….

To add or subtract fractions with the same denominator, you add or subtract their numerators and write that results over the common denominator.

To simplify an expression involving fractions, you write it as a single fraction in simplest form

3c/16 + 5c/16 = 8c/16 = c/2



Be careful when you distribute the subtraction sign to every term in the 2nd  fraction.










The following really seems simple but many students try to simplify it… BE CAREFUL




 STOP! You can not simplify any farther!








Notice that 3-x = -( x - 3) , the LCD is x – 3









Simplify


You must determine the LCD first. Rewrite the fractions using the LCD of 36


















Simplify:


  









Simplify:







Factor completely FIRST







You realize that the LCD is a(a-2)(a+2)










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