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problem 33 · 6 lines

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<p>The fraction $49/98$ is a curious fraction, as an inexperienced mathematician in attempting to simplify it may incorrectly believe that $49/98 = 4/8$, which is correct, is obtained by cancelling the $9$s.</p>
<p>We shall consider fractions like, $30/50 = 3/5$, to be trivial examples.</p>
<p>There are exactly four non-trivial examples of this type of fraction, less than one in value, and containing two digits in the numerator and denominator.</p>
<p>If the product of these four fractions is given in its lowest common terms, find the value of the denominator.</p>
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