题目内容
计算:
+
+
+
= .
| 1 |
| 2 |
| 1 |
| 6 |
| 1 |
| 12 |
| 1 |
| 20 |
考点:分数的加法和减法
专题:运算顺序及法则
分析:根据分数的拆项原理及方法,把每个分数拆分成两个分数差的形式,然后提高抵消进行简算.
解答:
解:
+
+
+
=(1-
)+(
-
)+(
-
)+(
-
)
=1-
+
-
+
-
+
-
=1-
=
.
故答案为:
.
| 1 |
| 2 |
| 1 |
| 6 |
| 1 |
| 12 |
| 1 |
| 20 |
=(1-
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 5 |
=1-
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 5 |
=1-
| 1 |
| 5 |
=
| 4 |
| 5 |
故答案为:
| 4 |
| 5 |
点评:此题考查的目的是理解掌握分数的拆项原理及方法,通过拆项达到简算的目的.
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