These questions concern "Project Euler problem 33":
The fraction $\displaystyle \frac {49}{98}$ is a curious fraction, as an inexperienced mathematician in attempting to simplify it may incorrectly believe that $\displaystyle \frac {49}{98} = \frac 48$, which is correct, is obtained by cancelling the $9$'s.
We shall consider fractions like, $\displaystyle \frac{30}{50} = \frac {3}{5}$, 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.
1. Is it safe to assume that all fractions are smaller than $\displaystyle 1\cdot \left(\frac kk\right)$ ? ps my mistake, i understood something else
- Is it, too, safe to assume that cancelling will be made only on the second digit of the numerator and on the first digit of the denominator?