fraction division
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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
