题目内容

(2008?塘沽区)脱式计算
(1-
1
4
-
5
12
)÷
2
3
8
9
×[
3
7
÷(
2
3
+
1
7
)]
1
6
×
2
5
÷(
5
6
-
3
4
1
4
÷[
7
8
-(
3
8
+
1
4
)].
分析:(1)先算括号内的,再算括号外的;
(2)(4)先算小括号内的,再算中括号内的,最后算括号外的;
(3)先算括号外的乘法和括号内的,再算除法.
解答:解:(1)(1-
1
4
-
5
12
)÷
2
3

=
1
3
÷
2
3

=
1
3
×
3
2

=
1
2


(2)
8
9
×[
3
7
÷(
2
3
+
1
7
)],
=
8
9
×[
3
7
÷
17
21
],
=
8
9
×[
3
7
×
21
17
],
=
8
9
×
9
17

=
8
17


(3)
1
6
×
2
5
÷(
5
6
-
3
4
),
=
1
15
÷
1
12

=
1
15
×12,
=
4
5


(4)
1
4
÷[
7
8
-(
3
8
+
1
4
)],
=
1
4
÷[
7
8
-
5
8
],
=
1
4
÷
1
4

=1.
点评:此题考查了分数的四则混合运算,注意运算顺序和运算法则.
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