Equivalent Fractions




  Mrs. Emeott's 4th Grade Class
     Clare Primary School
Table of Contents:

         
             What is an Equivalent Fraction?
             Why use Equivalent Fractions?
     
             How to find Equivalent Fractions?

    Now you try to find Equivalent Fractions
Equivalent Fractions

         
          Equivalent means “Equal”

    The numerator (top number) is different
    


 The denominator (bottom number) is different.

 Although they are different numbers they are
             the same amount.
Fraction Models:
Fraction Models:




                   So 2/3 is the
                   same as 8/12.
One Whole


        One Whole
Cut Them in Half


         1             The

          Numerator


         2         The
                  Denominator
          (How many pieces its cut into)
Cut them in Half Again
            I still show the same
              thing, but now I also
              show a new fraction
              that is equal
              (equivalent)
            1 And Also 2
            2        4
They are the Same!

    One Half is equivalent to 2 quarters.

1                             2
2             =                    4
Why use Equivalent Fractions?

    Equivalent Fractions make large numbers
    easier to deal with.

    Smaller numbers are simple.


50              5           1
100         =          10 =             2
To Find Equivalent Fractions:

    Multiply the numerator and denominator by
    the same number.




           1          4           4
           5     x    4     =     20
To Find Equivalent Fractions
Multiply the numerator and denominator by the
 same number.


15       Divide by 3

45       Divide by 3


Both 15 and 45 have 3as a common factor!
Find Equivalent Fractions
    15     Divide by 3         5
    45 =      Divide by 3   15


Start thinking ahead. Can we make the
5/15 smaller? What number do 5 and 15
             have in common?
5 and 15 have the number ____ in
             common!
a. 3
b. 2
c. 5
d. 15
That's Correct!

5 and 15 both have the number 5 in common!


So 5/15 can be made smaller by dividing the top
 and bottom numbers by 5!


                5          1
               15        = 3
That's Incorrect.
    Sorry that's not right but don't give up!!!
5 and 15 both have the number 5 in common!


So 5/15 can be made smaller by dividing the top
 and bottom numbers by 5!

                 5           1
                15         = 3
Now you try it!
Look at the top picture.
  It is cut into fourths.
The bottom picture is
 cut into eighths. How
 many eighths would
 be equal to the the ¾
 that are shaded red?
Click on the correct answer.
3/4 is equal to...


a. 4/8
b. 6/8
c. 8/8
d. 3/8
That's Correct!
    6/8 is the equivalent fraction to 3/4!



3   x2         6
4   x2 =       8
That's Incorrect!
    6/8 is the equivalent fraction to 3/4!



3   x2         6
4   x2 =       8
Did you get the right answer?
6, That's Right!
6/8 = 3/4
6 divided by 2=3
8 divided by 2= 4
Find the Equivalent Fraction:

                  2      x3
                  5      x3    = ?

a. 6/15
b. 3/12
c. 2/3
d. 1/10
That's Correct!


2    x3     6
5    x 3 = 15
That's Incorrect.


2     x3     6
5     x 3 = 15
Find the Equivalent Fraction:
             3           ?
             8     =     56
a. 6/56
b. 18/56
c. 3/56
d. 21/56
That's Correct!

3      x7             21
8     x7     =        56
That's Incorrect.

3       x7              21
8      x7     =         56
What's the Equivalent Fraction?
What is the equivalent fraction to
½ (There is a HINT in the picture).
a. 2/4
b.1/4
c. 2/2
d. 3/4
That is Correct!
The equivalent fraction to 1/2 is 2/4.


1 x 2= 2
2 x 2= 4
That's Incorrect.
The equivalent fraction to 1/2 is 2/4.


1 x 2= 2
2 x 2= 4
Try your hand at these bonus
              problems!
1) Find the Equivalent Fraction to 6/9.
a. 3/9
b. 12/18
c. 6/18
d. 2/3
That's Correct!
That's Incorrect.
Bonus Problem #2
2) Find the Equivalent Fraction to 5/10.
a. 3/5
b. 2/10
c. 1/2
d. 5/20
Bonus Problem #3
3) Find the Equivalent Fraction to 11/12.
a. 111/112
b. 33/22
c. 5/6
d. 22/24
Bonus Problem #4
4) Find the Equivalent Fraction to 2/3.
a. 1/2
b. 4/6
c. 4/8
d. 1/3
Bonus Problem #5
5) Find the Equivalent Fraction to 2/8.
a. 1/4
b. 1/8
c. 3/21
d. 2/18
Sources Used:
http://commons.wikimedia.org/wiki/File:Equal_Fractions_123.svg

http://commons.wikimedia.org/wiki/File:Cake_fractions.svg

http://openclipart.org/detail/66535/the-star-by-aungkarns

http://openclipart.org/detail/1697/pencil-and-note-pad-by-ausis

http://openclipart.org/detail/27962/number-animals-by-kablam

http://openclipart.org/detail/22412/emoticons:-question-face-by-nicubunu

http://kmott.wikispaces.com/Equivalent+Fraction+Chart

Http://visualfractions.com/highercircle.1gif

http://openclipart.org/detail/159643/thank-you-pinned-by-juliobahar

Emeott project