<prompt> Kokotoa kizidishio cha chini kabisa cha kawaida cha 9999 na 100,001.  <response>: Kumbuka kitambulisho mathoptextlcma,bcdot gcda,bab, ambacho kinashikilia nambari zote chanya a na b. Kwa hivyo, mathoptextlcm9999,100001 frac9999cdot 100001gcd9999,100001,hivyo tunaangazia kukokotoa gcd9999, 100001 .Ona kwamba 100001 9999011 10999911. Kwa hivyo, kigawanyo chochote cha kawaida cha 100001 na 9999 lazima kiwe kigawanyo cha 100001-10cdot 9999 11. Uwezekano ni 1 na 11.Kwa kweli, 999911cdot 909, kwa hivyo 11 ni kigawanyo cha 9999 na 100001, ambayo inatoa gcd9999,100001 11.Kwa hivyo, anzaalignmathoptextlcm9999,100001 frac9999cdot 10000111 909cdot 100001 909cdot 100000 909 90,900,909.mwishopanga 