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4
7
×[15×(
1
3
-
3
10
)+
7
8
]
=
 18÷
6
7
-(
1
4
+
2
7
9
11
=
(1+
5
7
+
1
2
÷
3
4
2
7
=
 (
3
50
×101-
3
50
)÷(150+30÷
1
15
)
=
3
4
÷[(
1
16
+
1
20
)×(1÷
3
20
)]
=
1
5
÷
2
3
×
5
24
÷
7
12
=
分析:依据四则运算顺序:先算第二级运算,再算第一级运算,如果只含有同一级运算,按照从左到右顺序计算,有括号先算括号里面的顺序解答,
(4)运用乘法分配律解答即可.
解答:解:(1)
4
7
×[15×(
1
3
-
3
10
)+
7
8
]

=
4
7
×
[15×
1
30
+
7
8
],
=
4
7
×
[
1
2
+
7
8
],
=
4
7
×
11
8

=
11
14


(2)18÷
6
7
-(
1
4
+
2
7
9
11

=18÷
6
7
-
15
28
×
9
11

=21-
135
308

=20
173
308


(3)(1+
5
7
+
1
2
÷
3
4
2
7

=(1+
5
7
+
2
3
)×
2
7

=
50
21
×
2
7

=
100
147


(4)(
3
50
×101-
3
50
)÷(150+30÷
1
15
)

=(101-1)×
3
50
÷(150+450),
=6+600,
=606;

(5)
3
4
÷[(
1
16
+
1
20
)×(1÷
3
20
)]

=
3
4
÷[
9
80
×
20
3
],
=
3
4
÷
3
4

=1;

(6)
1
5
÷
2
3
×
5
24
÷
7
12

=
3
10
×
5
24
÷
7
12

=
1
16
÷
7
12

=
3
28
点评:本题考查知识点:(1)依据四则运算顺序正确进行计算,(2)运用乘法分配律解决问题.
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