超簡單數學5分

2010-12-10 11:42 pm

-058333333........
循環小數轉分數
thx

回答 (3)

2010-12-12 1:55 am

Let x =-0.58333333....
1000x = -583.3333333......
100x =-58.33333........
1000x-100x=-525
900x=-525
x=-525/900
x=-21/36
x=-7/12

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2010-12-11 12:26 am

1/x=-0.58333333

x=-1/1.71428571429

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2010-12-11 12:17 am

Let y = -0.583333 .... --- (1)
10000y =-5833.3333 ... --- (2)

(2) - (1): 9999y = -5832.75
-0.583333 .... = y = -5832.75/9999 = -7/12

參考: Mathematics Teacher Mr. Ip

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