S/(S/m+S/n)=mn/(m+n)怎么化简成mn/(m+n)

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S/(S/m+S/n)=mn/(m+n)怎么化简成mn/(m+n)
S/(S/m+S/n)=mn/(m+n)怎么化简成mn/(m+n)

S/(S/m+S/n)=mn/(m+n)怎么化简成mn/(m+n)
S/(S/m+S/n)=s/(sn/mn+sm/mn)=s/[(sn+sm)/mn]=smn/s(m+n)=mn/m+n.

S/(S/m+S/n)=s/s/(1/m+1/n)
=1/(1/m+1/n)
= 1/(n/mn+m/mn)
=1/[(n+m)/mn]
= mn/(m+n)