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### Simplifiable Sum of two Unsimplfiable Fractions [closed]

I am programing something that is supposed to represent fractions. I will try to leave out as much of the programming specifics as I can because my problem is a math problem not a programming problem. ...

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### About the sum of the first half and the latter half of the cyclic numbers of a repeating decimal

Let us call the sum of the first half and the latter half of the cyclic numbers of an irreducible fraction 'a division sum' when the period of a repeating decimal is even. Also, let $\lambda(l)$ be ...

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### What is known about fractions in difference equations?

I'm using the following book as reference:
** Walter G. Kelly and Allan C. Peterson Difference Equations Second Edition, Harcourt Academic Press, 2001. **
I gather from the book and from research ...

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### How do you calculate/prove the length of n, the number of non-repeating digits preceeding a periodic sequence of a fractional repeating decimal

Is there a way to calculate the number of non-repeating digits that precede the periodic repeating portion of a decimal expansion? For example:
1/6 = 0.1666.... (there is 1 non repeating digit) ...

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### Reconstructing a fraction from its first digits

It is not difficult to see that any reduced fraction $\frac{p}{q}$
where $0 < p < q $ and both $p$ and $q$ have at most $N$
digits (where $N$ is a fixed integer) can be reconstructed
from its ...