<prompt> Tathmini usemi frac121 kushoto frac113 - frac117 kulia 169 kushoto frac117 - frac111 kulia 289 kushoto frac111 - frac113 kulia 11 kushoto frac113 - frac117 kulia 13 kushoto frac117 - frac111 kulia 17 kushoto frac111 - frac113 kulia ,.  <response>: Acha a11, b13, na c17. Kwa kutumia vigeu hivi usemi huwa fraca2 kushoto frac1b - frac1c kulia b2 kushoto frac1c - frac1a kulia c2 kushoto frac1a - frac1b haki a kushoto frac1b - frac1c kulia b kushoto frac1c - frac1a kulia c kushoto frac1a - frac1b kulia , .Kwa kuweka masharti yote katika vikundi kwa usawa sawa tunapata fracfrac1ac2-b2 frac1ba2-c2 frac1c b2-a2frac1ac-b frac1ba-c frac1cb-a , . Kwa kutumia tofauti ya miraba, tunaweza kuandika upya nambari ya usemi kamafrac1acbc-b frac1baca-c frac1cba b-a.Hebu S a b c. Kisha nambari nibeginaligned frac1aS-ac-b frac1bS-ba-b frac1cS-c b-a frac1ac-bS - c-b frac1ba-bS - a-c frac1cb-aS- b-a kushoto frac1ac-b frac1ba-b frac1cb-a rightSendalignedLakini hii ni kipunguzo cha sehemu zetu mara S. Kwa hivyo usemi wetu wa asili hurahisisha hadi S ambayo ni abc 11131741. 