化簡0.323232323232......+0.210210210210......為一個分數 請問如何求分數?
上面都是循環小數
數學問題""
2011-09-15 6:25 am
回答 (3)
2011-09-15 7:01 am
✔ 最佳答案
化簡0.323232......+0.210210210......為一個分數，請問如何求分數?上面都是循環小數Sol
a=0.323232...
100a=32.323232...
100a－a=32
99a=32
a=32/99
b=0.210210210...
1000b=210.210210210...
1000b－b=210
999b=210
b=210/999
[999，99]=10989
0.323232......+0.210210210......
=(32/99)+(210/999)
=5862/10989
2011-09-15 9:01 am
化簡0.323232323232......+0.210210210210......為一個分數 請問如何求分數?
Sol
0.323232323232......+0.210210210210....
=32/99+210/999
=323232/999999+210210/999999
=533442/999999
=5862/10989
Sol
0.323232323232......+0.210210210210....
=32/99+210/999
=323232/999999+210210/999999
=533442/999999
=5862/10989
2011-09-15 6:39 am
(32/99)+(210/999)= 5862/10989
收錄日期: 2021-05-02 10:46:37
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110914000016KK07748