问题 填空题
化简(1+
1
m-1
m
m2-1
的结果是______.
答案

(1+

1
m-1
)÷
m
m2-1

=(

m-1
m-1
+
1
m-1
)÷
m
(m+1)(m-1)

=

m-1+1
m-1
(m+1)(m-1)
m

=

m
m-1
(m+1)(m-1)
m

=m+1.

故答案为:m+1

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