题目内容
计算:
+
+
+
+
+
+
.
| 1 |
| 8128 |
| 1 |
| 254 |
| 1 |
| 508 |
| 1 |
| 1016 |
| 1 |
| 2032 |
| 1 |
| 4064 |
| 1 |
| 8128 |
考点:分数的巧算
专题:计算问题(巧算速算)
分析:计算同分母分数并且化简后,再计算同分母分数并且化简,依此类推即可简便计算.
解答:
解:
+
+
+
+
+
+
,
=
+
+
+
+
+(
+
),
=
+
+
+
+
+
,
=
+
+
+
+
,
=
+
+
+
,
=
+
+
,
=
+
,
=
.
| 1 |
| 8128 |
| 1 |
| 254 |
| 1 |
| 508 |
| 1 |
| 1016 |
| 1 |
| 2032 |
| 1 |
| 4064 |
| 1 |
| 8128 |
=
| 1 |
| 254 |
| 1 |
| 508 |
| 1 |
| 1016 |
| 1 |
| 2032 |
| 1 |
| 4064 |
| 1 |
| 8128 |
| 1 |
| 8128 |
=
| 1 |
| 254 |
| 1 |
| 508 |
| 1 |
| 1016 |
| 1 |
| 2032 |
| 1 |
| 4064 |
| 1 |
| 4064 |
=
| 1 |
| 254 |
| 1 |
| 508 |
| 1 |
| 1016 |
| 1 |
| 2032 |
| 1 |
| 2032 |
=
| 1 |
| 254 |
| 1 |
| 508 |
| 1 |
| 1016 |
| 1 |
| 1016 |
=
| 1 |
| 254 |
| 1 |
| 508 |
| 1 |
| 508 |
=
| 1 |
| 254 |
| 1 |
| 254 |
=
| 1 |
| 127 |
点评:考查了分数的巧算,本题关键是先计算同分母分数,从而简便计算.
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