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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

 (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.

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