题目内容

用你喜欢的方法计算下面各题.
1
4
+
3
8
-
1
2
3
4
-
5
6
+
1
4
9
10
-
5
8
-
1
8
5
8
-(
1
2
-
1
4
2
3
+
3
11
-
2
3
1
3
+
4
7
+
2
3
+
1
7
5
6
+(
1
6
-
1
5
23
25
-
2
9
+
2
25
-
5
9
分析:根据分数加减法的计算方法进行计算.其中(2)(3)(5)(6)(7)(8)可要根据加法的交换律和结合律进行计算.
解答:解:(1)
1
4
+
3
8
-
1
2

=
2
8
+
3
8
-
4
8

=
1
8


(2)
3
4
-
5
6
+
1
4

=
3
4
+
1
4
-
5
6

=1-
5
6

=
1
6


(3)
9
10
-
5
8
-
1
8

=
9
10
-(
5
8
+
1
8
),
=
9
10
-
3
4

=
18
20
-
15
20

=
3
20


(4)
5
8
-(
1
2
-
1
4
),
=
5
8
-
1
4

=
3
8


(5)
2
3
+
3
11
-
2
3

=
2
3
-
2
3
+
3
11

=
3
11


(6)
1
3
+
4
7
+
2
3
+
1
7

=(
1
3
+
2
3
)+(
4
7
+
1
7
),
=1+
5
7

=1
5
7


(7)
5
6
+(
1
6
-
1
5
),
=
5
6
+
1
6
-
1
5

=1-
1
5

=
4
5


(8)
23
25
-
2
9
+
2
25
-
5
9

=(
23
25
+
2
25
)-(
2
9
+
5
9
),
=1-1,
=0.
点评:本题综合考查了学生分数加减法计算的计算能力,注意在计算中灵活运用简便算法.
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