题目内容
计算,把结果写成若干个分母是质数的既约分数之和:
+
-
+
-
=______.
| 1 |
| 9 |
| 5 |
| 9 |
| 1 |
| 19 |
| 1 |
| 95 |
| 1 |
| 1995 |
| 1 |
| 9 |
| 5 |
| 9 |
| 1 |
| 19 |
| 1 |
| 95 |
| 1 |
| 1995 |
=
| 6 |
| 9 |
| 105-21+1 |
| 1995 |
=
| 2 |
| 3 |
| 17 |
| 399 |
=
| 83 |
| 133 |
133=7×19,
令
| 83 |
| 133 |
| a |
| 7 |
| b |
| 19 |
则19×a+7×b=83,易见a=4,b=1,符合要求.
所以,
| 1 |
| 9 |
| 5 |
| 9 |
| 1 |
| 19 |
| 1 |
| 95 |
| 1 |
| 1995 |
| 4 |
| 7 |
| 1 |
| 19 |
故答案为:
| 4 |
| 7 |
| 1 |
| 19 |
练习册系列答案
相关题目