國中數學 分數問題?

2017-08-16 5:05 pm
https://i.imgur.com/E7qSoQV_d.jpg?maxwidth=640&shape=thumb&fidelity=high
如圖,請問這個要怎麼算?
更新1:

請問1/(1*4)為何等於(1/3)(1/1 - 1/4)呢?

回答 (1)

2017-08-16 5:14 pm
✔ 最佳答案
原式
= (1/3)( 1/1 - 1/4 ) + (1/3)( 1/4 - 1/7 ) + (1/3)( 1/7 - 1/10 ) + ...... + (1/3)( 1/97 - 1/100 )
= (1/3)( 1/1 - 1/4 + 1/4 - 1/7 + 1/7 - 1/10 + ...... + 1/97 - 1/100 )
= (1/3)( 1 - 1/100 )
= (1/3)(99/100)
= 33/100 ..... Ans


收錄日期: 2021-05-02 14:13:23
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20170816090522AAeMKmy

檢視 Wayback Machine 備份