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Hi,

I'm trying to have students solve a simple fraction problem like  $a - ($b + $c)  /   ($d - $e), where each letter is a programmed variable and where $d, $e and its difference do not give zero.  The answer could be either a fraction, or an integer (if the fraction can be simplified).  If I use the Maple-graded type of question, this is possible, but the student can also write the initial fraction problem and get a good mark for it ! ...

If you use all the convergents of the simple continued fraction of the MRB constant as the terms of a generalized continued fraction, then likewise use the new convergents in another generalized continued fraction, and so on... you arrive at 0.5557531....  For more on this process see https://oeis.org/wiki/Convergents_constant .

In feedback control I want to isolate the fraction that defines my system: output/input.

This cannot directly be done by solve, isolate or simplify  in any of my attempts. What I've done is to follow the solutions for the following problem: http://www.mapleprimes.com/questions/37686-Isolating-Variable-Quotient

But my problem is apparently a little more hairy, since solving...

Hi

I need a procedure to multiply a fractional number by an integer (n), to produce (the closest) integer (m).

eg 1.333333 * 3 = 3.99999 (4)

i/p fractional number

o/p: n=3, m=4

rgds

Pi^2*(c+(1+Pi)/Pi)^2+Pi^2)/((c-(-1+Pi)/Pi)^2*Pi^2+Pi^2);

                         2 /    1 + Pi\2     2
                       Pi  |c + ------|  + Pi
     ...

what is the general sum formula for the following seires (we may notice from these few terms it has a pattern)