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You are HERE >> Mathematics  > Grade 5

 
Fractions 
By Lisa Williams 
October 27, 2000



Rule #1 of fractions is:  ANYTHING over itself = 1.

 Examples:
 
 

2
--  =  1
2
1046
-----   =  1
1046
a
--   =  1
a
xy7z
-------   =  1
xy7z

  numerator
-----------------
denominator
 

The numerator is the top number in the fraction. This number tells how many parts you have.
-----------------------------------------------------------------------------------------------
The denominator is the bottom number of the fraction this number tells how many parts it takes to = 1
 

SO...  if you had the fraction 3/4...

 the numerator is 3 which tells you how many parts you have.
-------------------------------------------------------------------------------------
the denominator is 4 which tells you that it is broken into 4 parts

Another example 
if you had 5/4

5 tells how many parts you have
-----------------------------------------------------
4 tells you it only takes 4 to make a whole 

So 5/4 can be written as 
 4      1       5 
--- + ---  = ---     or 1¼
 4      4       4 
 

Rule # 2 of Fractions is: Always reduce your answers if possible. Make sure the fraction is in the lowest possible terms.

Never leave 2/4 . Reduce it to 1/2.

To reduce fractions break big numbers down by breaking them up into their
factors. ( factor are numbers multiplied together to get a bigger number: 
2 x 3 = 6 ; 2 & 3  are the factors) 
You can break big numbers down by factoring them, and then go back to rule # one of anything over itself = 1.

Example:

56
----
104

These numbers break into their factors like this:

56  =  7 x 8
------------ 
104 = 13 x 8

 the 8's cancel out because anything over itself = 1
leaving you:

7
---
13

Assignment
Reduce the following by breaking the larger numbers into their factors.

(1.)   24 / 50 
(2.)   100/110
(3.)   56/72 
(4.)   65/90 
(5.)   28/35 
(6.)   16/56 
(7.)   33/121
(8.)   18/24 
(9.)   36/42 
(10.)  6/8
 

Answers 
 
 
(1.)  24        2 x 12
---  =   ------- 
50        2 x 25
      12
 =   ---
      25

 
(2.)  100     10 x 10
---- =  --------
110      10 x 11
      10
 =   ---
       11 

 
(3.)  56       8 x 7
---  =  -------
72       8 x 9
     7
=  --
      9 
(4.)  65      5 x 13
--- =  -------
90      5 x 18
    13
 = ---
    18
(5.)  28        4 x 7
---  =    -----
35        5 x 7
     4
=  ---
     5
(6.)  16         8 x 2
---  =   -------
56         8 x 7
     2
=  ---
     7
(7.)  33         11 x 3 
---- =    -------
121       11 x 11
       3
 =   ---
       11
(8.)  18       6 x 3
--- =  -------
24        6 x 4
      3
=   ---
      4
(9.)  36         6 x 6
---  =  ------
42         6 x 7
      6
=   ---
      6
(10.)  6           3 x 2
---   =  -------
8           4 x 2
      3
=   ---
       4 

 

Submitted by: Copyright© Lisa Williams I'm a homeschooling mom of 3 elementary school age children. I run a clowning business from my home (Jingles the clown), am pianist for a local church, teach a Sunday School class, teach piano, tutor basic math see Math tutoring and algebra online and I enjoy making people smile. Send a note to Lisa

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