令a1/b1=a2/b2=a3/b3=.=an/bn=n/m,n,m互质.则有a1=t1*n,a2=t2*n,.,an=tn*n.b1=t1*m,b2=t2*m,...,bn=tn*m
(a1+a2+a3+...+an)/(b1+b2+b3+...+bn)=(t1+t2+...+tn)n/(t1+t2+...+tn)m=n/m
若a1/b1=a2/b2=a3/b3=.=an/bn 则a1/b1=a2/b2=...=(a1+a2+a3+...+
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