fraction division

fraction division

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fraction division

Dividing fractions is almost as simple a multiplying them. 
Unlike adding and subtracting, where care must be taken to 
ensure that both fractions have a common denominator, the
 division operation has no such requirement. 

Dividing by a number is the same as multiplying by the number's 
reciprocal. For example: 

dividing by 2 is the same as multiplying by 1/2 
dividing by 4 is the same as multiplying by 1/4 

Simply invert (i.e. flip over) the second fraction, then 
multiply the new numerators (top numbers), and the new 
denomominators (bottom numbers), and place the resulting 
answers in their respective top / bottom location in the 
answer fraction. Then reduce the fraction, if possible 

Example 1: Simple fraction division 

   1       1
  ---  ? --- =  ?  
   1       2

Invert the 1/2, creating 2/1, then multiply numerators and 
denominators to find the answer: 

    1     2      2
   --- x ---  = ---  =  2 
    1     1      1


Example 2: Fraction division requiring reducing and 
conversion: 

    2     2
   --- ?---  =  ?  
    4     5

Invert the 2/5, then multiply: 

    2     5      10
   --- x ---  = ----- 
    4     2       8

Then reduce the fraction:  

    10      5
   ----- = --- 
     8      4

Then convert the improper fraction to a mixed 
number: 
 
    5        1
   --- =  1 --- 
    4        4