试题与答案

A、195195196÷195=______;195÷195195196=___

题型:解答题

题目:

A、195
195
196
÷195=______;195÷195
195
196
=______
B、
1
1×2
+
1
2×3
+
1
3×4
+…+
1
98×99
+
1
99×100
=______.

答案:

(1)195

195
196
÷195,

=(195+

195
196
)÷195,

=1+

1
196

=1

1
196

(2)195÷195

195
196

=195÷

196×195+1995
196

=195×

196
195×(196+1)

=

196
197

(3)

1
1×2
+
1
2×3
+
1
3×4
+…+
1
98×99
+
1
99×100

=1-

1
2
+
1
2
-
1
3
+
1
3
-
1
4
+…+
1
98
-
1
99
+
1
99
-
1
100

=1-

1
100

=

99
100

故答案为:1

1
196
196
197
99
100

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