若a*b=(axc+b)/(axb),且5*6=6*5,求(3*2)x(4*5)的值

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若a*b=(axc+b)/(axb),且5*6=6*5,求(3*2)x(4*5)的值
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若a*b=(axc+b)/(axb),且5*6=6*5,求(3*2)x(4*5)的值
若a*b=(axc+b)/(axb),且5*6=6*5,求(3*2)x(4*5)的值

若a*b=(axc+b)/(axb),且5*6=6*5,求(3*2)x(4*5)的值
因为,5*6 = (5×c+6)/(5×6) ,6*5 = (6×c+5)/(6×5) ,而且,5*6 = 6*5 ,
所以,(5×c+6)/(5×6) = (6×c+5)/(6×5) ,解得:c = 1 ,
可得:a*b = (a×c+b)/(a×b) = (a+b)/(a×b) ;
因为,3*2 = (3+2)/(3×2) = 5/6 ,4*5 = (4+5)/(4×5) = 9/20 ,
所以,(3*2)×(4*5) = (5/6)×(9/20) = 3/8 .