题目内容

(2012?团风县模拟)计算(能简算的要简算.)
5
6
-
1
4
+
1
3
23
28
+(
13
14
+
2
7
7-(
3
4
-
2
5
1
3
7
-
5
12
-
7
12
5
8
+
9
17
+
3
8
+
8
17
5
9
+
2
3
-
15
18
5-
3
7
-
4
7
1
6
+
3
8
+
5
8
5
9
-(
5
6
-
7
12
)
分析:(1)先通分,再进行计算;
(2)先算括号里的加法,再算括号外的加法;
(3)先算括号里的减法,再算括号外的减法;
(4)运用减法的运算定律进行简算;
(5)运用加法的交换律、结合律进行简算;
(6)先通分,再进行计算;
(7)运用减法的运算定律进行简算;
(8)运用加法的结合律进行简算;
(9)先算括号里的减法,再算括号外的减法.
解答:解:(1)
5
6
-
1
4
+
1
3

=
7
12
+
1
3

=
11
12


(2)
23
28
+(
13
14
+
2
7
),
=
23
28
+(
13
14
+
2
7
),
=
23
28
+
17
14

=
57
28


(3)7-(
3
4
-
2
5
),
=7-
7
20

=6
13
20


(4)1
3
7
-
5
12
-
7
12

=1
3
7
-(
5
12
+
7
12
),
=1
3
7
-1,
=
3
7


(5)
5
8
+
9
17
+
3
8
+
8
17

=(
5
8
+
3
8
)+(
9
17
+
8
17
),
=1+1,
=2;.

(6)
5
9
+
2
3
-
15
18

=
11
9
-
15
18

=
7
18


(7)5-
3
7
-
4
7

=5-(
3
7
+
4
7
),
=5-1,
=4;

(8)
1
6
+
3
8
+
5
8

=
1
6
+(
3
8
+
5
8
),
=
1
6
+1,
=1
1
6


(9)
5
9
-(
5
6
-
7
12
),
=
5
9
-
1
4

=
11
36
点评:考查了分数四则混合运算的顺序,灵活运用运算定律进行简算.
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