Digit cancelling fractions
The fraction 4998 is a curious fraction, as an inexperienced mathematician in attempting to simplify it may incorrectly believe that 4998=48, which is correct, is obtained by cancelling the9s.
We shall consider fractions like, 3050=35, to be trivial examples.
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.
If the product of these four fractions is given in its lowest common terms, find the value of the denominator.