题目内容

计算下面各题,能简算的要简算.
8
9
-
1
6
+
2
3
1
4
+
1
7
+
6
7
5
8
-
2
7
-
1
7
5
6
-(
5
6
-
5
8
1
2
+
4
7
+
3
7
15
16
-
3
8
-
1
2
7
12
+
2
7
+
1
3
1
4
+
1
3
+
1
4
+
2
3
考点:分数的加法和减法,运算定律与简便运算
专题:运算顺序及法则,运算定律及简算
分析:(1)(5)(6)(7)按照从左到右顺序计算解答,
(2)运用加法结合律解答,
(3)(4)运用减法性质解答,
(8)运用加法交换律和结合律解答.
解答: 解:(1)
8
9
-
1
6
+
2
3

=
13
18
+
2
3

=1
7
18


(2)
1
4
+
1
7
+
6
7

=
1
4
+(
1
7
+
6
7

=
1
4
+1
=1
1
4



(3)
5
8
-
2
7
-
1
7

=
5
8
-(
2
7
+
1
7

=
5
8
-
3
7

=
11
56


(4)
5
6
-(
5
6
-
5
8

=
5
6
-
5
6
+
5
8

=0+
5
8

=
5
8


(5)
1
2
+
4
7
+
3
7

=
1
2
+(
4
7
+
3
7

=
1
2
+1
=1
1
2


(6)
15
16
-
3
8
-
1
2

=
9
16
-
1
2

=
1
16


(7)
7
12
+
2
7
+
1
3

=
73
84
+
1
3

=1
17
84


(8)
1
4
+
1
3
+
1
4
+
2
3

=(
1
4
+
1
4
)+(
1
3
+
2
3

=
1
2
+1
=1
1
2
点评:(1)依据分数加减法计算方法正确进行计算,(2)正确运用简便方法解决问题,是本题考查知识点.
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