Simplifying Fractions

I  can  find  the  greatest  common  factor  of  two  whole  numbers  less  than  or  equal  to  100.  

Simplifying Fractions

•  When  you  work  with  frac=ons,  your  answer  is  not  complete  un=l  you  simplify  the  frac=ons  to  lowest  terms.  

•  To  get  a  frac+on  to  lowest  terms,  we  use  the  greatest  common  factor  to  find  a  number  that  both  the  numerator  and  denominator  are  divisible  by  and  then  divide.    

Example One - Simplify

414!

Find the greatest common factor of 4 and 14.

The GCF is 2

Divide the Numerator and denominator by the GCF. The simplified fraction is …

27!

Example Two - Simplify

1830!

Find the greatest common factor of 18 and 30.

The GCF is 6

Divide the Numerator and denominator by the GCF. The simplified fraction is …

35!

Example Three - Simplify

1221!

Find the greatest common factor of 12 and 21.

The GCF is 3

Divide the Numerator and denominator by the GCF. The simplified fraction is …

47!

Example Four - Simplify

4045!

Find the greatest common factor of 40 and 45.

The GCF is 5

Divide the Numerator and denominator by the GCF. The simplified fraction is …

89!

Race to Simplify!

Travel  to  each  sta=on  in  the  room  and  simplify  the  frac=on  

there  using  the  greatest  common  factor.    When  you  are  finished,  come  to  the  front  to  have  your  work  checked.    Hurry,  someone  will  win  a  

Homework  Pass!  

1 4860 =!

2 612 =!

3 1624 =!

4 812 =!

5 6381 =!

6 4554 =!

7 3060 =!

8 1640 =!

9 2022 =!

10 4575 =!

11 939 =!

12 2488 =!

1) Simplify the following fraction: !"!"

a. 2/3 b. ¾ c. ¼ d. ½

2) Simplify the following fraction !"!"

a. !!

b. !!

c. !!

d. !! 3) Simplify the following fraction:

!!"

a) !!"

b) !!

c) !!"

d) !!

4) Simplify the following fraction:

!!!""

a) !!!

b) !!

c) !!"

d) 5/20

!