题目内容
计算:
-
+
-
+
-
=
.
| 7 |
| 12 |
| 9 |
| 20 |
| 11 |
| 30 |
| 13 |
| 42 |
| 15 |
| 56 |
| 17 |
| 72 |
| 2 |
| 9 |
| 2 |
| 9 |
分析:通过观察,算式中的每个分数都可以拆分成两个分数相加的形式,根据算式特点,可以通过分数加、减相互抵消,得出结果.
解答:解:
-
+
-
+
-
,
=
+
-(
+
)+(
+
)-(
+
)+(
+
)-(
+
),
=
-
,
=
-
,
=
.
故答案为:
.
| 7 |
| 12 |
| 9 |
| 20 |
| 11 |
| 30 |
| 13 |
| 42 |
| 15 |
| 56 |
| 17 |
| 72 |
=
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 5 |
| 1 |
| 5 |
| 1 |
| 6 |
| 1 |
| 6 |
| 1 |
| 7 |
| 1 |
| 7 |
| 1 |
| 8 |
| 1 |
| 8 |
| 1 |
| 9 |
=
| 1 |
| 3 |
| 1 |
| 9 |
=
| 3 |
| 9 |
| 1 |
| 9 |
=
| 2 |
| 9 |
故答案为:
| 2 |
| 9 |
点评:此题的每个分数形如
,因此可以拆分成
+
的形式.
| a+b |
| a×b |
| 1 |
| a |
| 1 |
| b |
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