Aptitude - Decimal Fraction - Discussion

Discussion Forum : Decimal Fraction - General Questions (Q.No. 6)
6.
When 0.232323..... is converted into a fraction, then the result is:
1
5
2
9
23
99
23
100
Answer: Option
Explanation:
0.232323... = 0.23 = 23
99
Discussion:
26 comments Page 2 of 3.

Trupti said:   8 years ago
@Eddy.

I still don't get it. Why should we do 100r-r? Can this concept be explained with another equation perhaps?

Thank you.

Faez said:   8 years ago
I am not getting How it is 23/99?

Please explain clearly.

Saifullah said:   9 years ago
Where from the number 99 come?

Saurabh said:   9 years ago
How about 6.4356565656565656 then?
(1)

Eddy said:   1 decade ago
Let r = 0.232323 but 23 keep repeating. So let 100r = 23.232323.

Since the decimal move two times then 100r-r = 23.232323 - 0.232323.

99r = 23.

Therefore r = 23/99.

Ultimate said:   1 decade ago
What is solution for 6.4356565656565656?

Poornamsh said:   1 decade ago
There are dots (....) after 23 i.e. 23 is repeated infinitely .232323232323232323...

But only two 'digits' - 2&3 are repeating so taken 2 9's.

Sara khan said:   1 decade ago
Please explain this question 23 is repeated 3 times but we have added 9 (2 times in denominator not 3 times) why.

Chitra said:   1 decade ago
It is simple. All you need to do is just put as many as nines in denominator which are recurring or under the bar. In numerator remove the bar sign.

Ruchi said:   1 decade ago
Write the repeated figures only once in the numerator and take as many nines in the denominator as is the number of repeating figures.


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