Aptitude - Decimal Fraction - Discussion
Discussion Forum : Decimal Fraction - General Questions (Q.No. 17)
17.
The rational number for recurring decimal 0.125125.... is:
Answer: Option
Explanation:
| 0.125125... = 0.125 = | 125 |
| 999 |
Discussion:
8 comments Page 1 of 1.
FAHIM said:
2 decades ago
PLZ TELL ME THE METHOD USING WHICH THIS RESULT IS FORMED.
PLZ REPLY SOON
PLZ REPLY SOON
Priyanka P. said:
1 decade ago
In this method the recurring number after decimal are show by 9's in denominator and non-recurring are represented by 0's.
As 0.125125 in it 125 these 3 digits are recurring so we represent it by 9, 125/999
if it is 0.123535 then it will be 1235/9900
hope it helps u.
As 0.125125 in it 125 these 3 digits are recurring so we represent it by 9, 125/999
if it is 0.123535 then it will be 1235/9900
hope it helps u.
Richa said:
1 decade ago
thank u priyanka...
Manoj said:
1 decade ago
Can some body tell me about non-recurring please I am not able to understand it : (.
RamJISharda said:
1 decade ago
Hey friends as we have studied in formulas that when we solve or covert a pure decimal into vulgar fraction then we divide that with 9 instead of 10 as in this case the .125125 is a pure decimal 0.125 so instead of 1000 we will use 999
n / n-1 = .n
n / n-1 = .n
Anonymous said:
9 years ago
Let x= 0.125125.
Now here we can see that 3 digits are recurring so what we do is multiply x by 1000.
That is if k digits are recurring then we will multiply the number by 10^k.
Now subtract the x from the number that is formed by multiplication.
In our case 1000 * x = 125.125125.
1000 * x - x = 125.
999x = 125.
X = 125/999.
Hope it helps!
Now here we can see that 3 digits are recurring so what we do is multiply x by 1000.
That is if k digits are recurring then we will multiply the number by 10^k.
Now subtract the x from the number that is formed by multiplication.
In our case 1000 * x = 125.125125.
1000 * x - x = 125.
999x = 125.
X = 125/999.
Hope it helps!
(1)
Roselin said:
9 years ago
Thank you all. It's very useful.
(1)
Karan Kumar said:
5 years ago
x = 0.125125
10x = 1.25125.
100x = 12.5125.
1000x = 125.125.
Therefore,
1000x - x = 125.125 - 0.125.
999x = 125,
x =125/999.
10x = 1.25125.
100x = 12.5125.
1000x = 125.125.
Therefore,
1000x - x = 125.125 - 0.125.
999x = 125,
x =125/999.
(6)
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