The simplest form of a fraction is
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$\,\displaystyle\frac{N}{D}\,$, where
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$\,N\,$ and
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$\,D\,$ have no
common factors (except
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$\,1\,$).
Thus, in simplest form, there is no number other than
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$\,1\,$ that goes into both
the numerator and denominator evenly.
EXAMPLES:
Question:
Write in simplest form:
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$\displaystyle\frac{6}{15}$
Solution:
The fraction
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$\,\frac{6}{15}\,$ is not in simplest form, because $\,6\,$ and $\,15\,$
have a common factor of
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$\,3\,$.
To simplify the fraction, use the following thought process:

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$6\,\,\,$ divided by $\,3\,$ is $\,2\,$ (the new numerator is $\,2\,$)

$15\,$ divided by $\,3\,$ is $\,5\,$ (the new denominator is $\,5\,$)
 Thus,
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$\,\frac{6}{15} = \frac{2}{5}\,$.
 Since
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$\,2\,$ and $\,5\,$ have no common factor other than $1$,
the simplest form of [beautiful math coming... please be patient]
$\,\frac{6}{15}\,$ is
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$\,\frac{2}{5}\,$.
Note:
$\displaystyle\frac{6}{15} \ \ = \ \ \frac{3\cdot 2}{3\cdot 5} \ \ = \ \ \frac{3}{3}\cdot\frac{2}{5}
\ \ = \ \ 1\cdot\frac{2}{5} \ \ = \ \ \frac{2}{5}\,$
Thus, simplifying a fraction is just getting rid of extra factor(s) of $\,1\,$.
Question:
Write in simplest form: [beautiful math coming... please be patient]$\frac{2}{6}$
Answer:
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$\frac{1}{3}$
In the exercises below, you will input fractions using a forward diagonal slash.
For example, [beautiful math coming... please be patient]
$\,\frac{1}{3}\,$ is input as 1/3 .