So a fraction like 26/65 simplifies to 2/5 which is not very interesting. However, if i cancelled the '6' from the top and bottom it gives a shortcut to the simplification. Clearly this is an illegal operation and not recommended but its fun.
I am trying to generate other fractions like this and the mathematics doesn't feel trivial.
so, i started with (10a+b)/(10b+c) = a/c
Suppose i decide to pick the cancel number as say 3 ( for no reason), this reduces the variables to play with:
(10a+3)/(30+c) =a/c
i then get 10a(3-b) = 2b
What next though? Do i just try whole numbers in a systematic way or is there a smarter way in?
I am trying to generate other fractions like this and the mathematics doesn't feel trivial.
so, i started with (10a+b)/(10b+c) = a/c
Suppose i decide to pick the cancel number as say 3 ( for no reason), this reduces the variables to play with:
(10a+3)/(30+c) =a/c
i then get 10a(3-b) = 2b
What next though? Do i just try whole numbers in a systematic way or is there a smarter way in?