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WRITING FRACTIONS IN SIMPLEST FORM
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The concepts for this exercise are summarized below.
For a complete discussion, read the text.
SIMPLEST FORM OF A FRACTION
The simplest form of a fraction is N/D , where N and D have no
common factors (except 1 ).
Thus, in simplest form, there is no number other than 1 that goes into both
the numerator and denominator evenly.
For example, 6/15 is not in simplest form, because 6 and 15
have a common factor of 3 .
To simplify the fraction, use the following thought process:
6 divided by 3 is 2 (the new numerator is 2 ).
15 divided by 3 is 5 (the new denominator is 5 ).
Thus, 6/15 = 2/5 .
Since 2 and 5 have no common factor other than 1 ,
the simplest form of 6/15 is 2/5 .
EXAMPLE:
Write 2/6 in simplest form:
Answer: 1/3