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(1)
3
8
÷
9
4
÷
5
6
(2)
3
4
÷4×
8
9
(3)
4
15
÷
9
5
+
11
15
×
5
9
(4)
5
8
÷〔
3
4
-(
3
4
-
3
8
)〕
(5)
3
5
×(
1
2
+
1
3
)÷
4
9
(6)〔
5
6
-(
1
3
+
1
6
)〕÷
5
12
分析:(1)(2)按照从左到右的顺序计算;
(3)先把除法变成乘法,再运用乘法分配律简算;
(4)先去掉小括号,再算中括号里面的运算,然后算括号外的除法;
(5)先算小括号里面的加法,再算括号外的乘法,最后算括号外的除法;
(6)先算小括号里面的加法,再算中括号里面的减法,最后算括号外的除法.
解答:解:(1)
3
8
÷
9
4
÷
5
6

=
1
6
÷
5
6

=
1
5


(2)
3
4
÷4×
8
9

=
3
16
×
8
9

=
1
6


(3)
4
15
÷
9
5
+
11
15
×
5
9

=
4
15
×
5
9
+
11
15
×
5
9

=(
4
15
+
11
15
)×
5
9

=1×
5
9

=
5
9


(4)
5
8
÷[
3
4
-(
3
4
-
3
8
)],
=
5
8
÷[
3
4
-
3
4
+
3
8
],
=
5
8
÷[0+
3
8
],
=
5
8
÷
3
8

=
5
3


(5)
3
5
×(
1
2
+
1
3
)÷
4
9

=
3
5
×
5
6
÷
4
9

=
1
2
÷
4
9

=
9
8


(6)[
5
6
-(
1
3
+
1
6
)]÷
5
12

=[
5
6
-
3
6
5
12

=
1
3
÷
5
12

=
4
5
点评:此题主要考查分数的四则混合运算的运算顺序,以及应用运算定律进行简便计算的能力.
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