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Aptitude - Decimal Fraction - Discussion

Discussion Forum : Decimal Fraction - General Questions (Q.No. 26)
Decimal Fraction
26.
The correct expression of 6.46 in the fractional form is:
646
99
64640
1000
640
100
640
99
Answer: Option
Explanation:
6.46  = 6 + 0.46  = 6 + 46   = 594 + 46   = 640 .
99 99 99
Discussion:
21 comments Page 1 of 3.
Kirtan Patel said:   11 months ago
So here simple solution that How 99 is getting.

Take x = 6.464646 ---> Eq1
Now Multiply with 100 on Both sides
100x = 646.4646464 ---> Eq2

Now subtract Eq2-Eq1.
so 99x = 640,
x = 640/99.
(2)
Bindu said:   5 years ago
How to get 99 here? Explain please.
(1)
Murali said:   5 years ago
@All.

I got 646/99 as answer, how can you subtract with 6, when 6 is left side of the decimal? Anyone explain the answer.
(1)
Mohit said:   6 years ago
6.46 RECURRING = 0.646 x10.
990 in denominator (from given importent formula),
So, 646-6 x 10 / 990 = 646/99.
(2)
Khushi said:   6 years ago
How come 594? Please explain it.
Pankaj shah said:   7 years ago
How we got 99 in the denominator? please explain in details.
Roopa said:   7 years ago
Any number is Divided by 99 will lead to recurring decimal.
Prakash said:   8 years ago
How to get 99?
HEMANTH said:   9 years ago
The bar indicates that the nos. are recurring.

x = 6.46464646 ---> (1).
100x = 646.464646 --> (2) (since the bar is given over 2 digits we have to Multiply by 100).
(2) - (1) gives.

99x = 640,
And x = 640/99.
Hope you get it.
(7)
Jayshree said:   9 years ago
How we get 99?
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