若2m=3n,求分式(1+m/n-n/n-m)除以(1-m/n-n/n+m)的值

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若2m=3n,求分式(1+m/n-n/n-m)除以(1-m/n-n/n+m)的值

若2m=3n,求分式(1+m/n-n/n-m)除以(1-m/n-n/n+m)的值
若2m=3n,求分式(1+m/n-n/n-m)除以(1-m/n-n/n+m)的值

若2m=3n,求分式(1+m/n-n/n-m)除以(1-m/n-n/n+m)的值
因为2m=3n
所以m/n=3/2
所以(n-m)/n
=1-m/n
=1-3/2
=-1/2
(n+m)/n
=1+m/n
=1+3/2
=5/2
所以n/(n-m)=-2
n/(n+m)=2/5
所以(1+m/n-n/n-m)除以(1-m/n-n/n+m)
=(1+3/2+2)/(1-3/2-2/5)
=(9/2)/(-7/5)
=-45/14