问题 解答题
5÷[(35%-
1
12
)×
3
4
]+
1
3

1
8
×2.75+0.125×
17
4
+12.5%
(362+548×361)÷(362×548-186)
1
1
×
1
4
+
1
4
×
1
7
+
1
7
×
1
10
+…+
1
97
×
1
100
答案

(1)5÷[(35%-

1
12
)×
3
4
]+
1
3

=5÷[(

7
20
-
1
12
)×
3
4
]+
1
3

=5÷[(

21
60
-
5
60
)×
3
4
]+
1
3

=5÷[

16
60
×
3
4
]+
1
3

=5÷

1
5
+
1
3

=25+

1
3

=25

1
3

(2)

1
8
×2.75+0.125×
17
4
+12.5%,

=0.125×2.75+0.125×4.25+0.125,

=(2.75+4.25+1)×0.125,

=8×0.125,

=1;

(3)(362+548×361)÷(362×548-186),

=[362+548×(362-1)]÷(362×548-186),

=[362-548+548×362]÷(362×548-186),

=(362×548-186)÷(362×548-186),

=1;

(4)

1
1
×
1
4
+
1
4
×
1
7
+
1
7
×
1
10
+…+
1
97
×
1
100

=

1
3
×(1-
1
4
)+
1
3
×(
1
4
-
1
7
)+
1
3
×(
1
7
-
1
10
)+…+
1
3
×(
1
97
-
1
100
),

=

1
3
×(1-
1
4
+
1
4
-
1
7
+
1
7
-
1
10
+…+
1
97
-
1
100
),

=

1
3
×(1-
1
100
),

=

33
100

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