Aptitude - Decimal Fraction - Discussion

Discussion :: Decimal Fraction - General Questions (Q.No.26)

26. 

The correct expression of 6.46 in the fractional form is:

[A].
646
99
[B].
64640
1000
[C].
640
100
[D].
640
99

Answer: Option D

Explanation:

6.46  = 6 + 0.46  = 6 + 46   = 594 + 46   = 640 .
99 99 99

Shanthi said: (Apr 12, 2011)  
How to get 99. Any one please ans me.

Priyanka said: (Jun 23, 2011)  
How we got 99?

Anitha said: (Jul 27, 2011)  
0.46 can be written as 46/99.

Sc Yadav said: (Aug 12, 2011)  
How we can write 0.46/99 it should be 46/100?

Ramya said: (Jan 4, 2012)  
0.46 recurring is equal to 0.46464646464646464646464646464646
46/99=0.46464646464646464646464646464646
however 46/100 is simply 0.46
Thanks the difference!

Suresh said: (Feb 26, 2013)  
Right guys. Its a just a trick, keep it in mind that since its 2 decimal place used 99, if it is 3, than we have to take 999.

Narasingarao said: (Oct 6, 2013)  
Shanti, Priyanka, SC Yadav.

Refer Important formula. Formula No.6.

CONVERTING A PURE RECURRING DECIMAL INTO VULGAR FRACTION.

Purushotham said: (Jan 4, 2014)  
There is another simple way. The number which is not under the bar will be get minus from the whole number. In the denominator, no.of 9 digits will be based on the no.of digits which are under the bar.

6.46 = (646-6)/99.
= 640/99.

Anji said: (May 17, 2015)  
How can we get 594 on numerator?

Karthik said: (Jul 21, 2015)  
@Anji.

6+(46/99) by taking LCM.

(6*99)+46 = 594.

Gowsalya said: (May 15, 2016)  
How 99 comes in the denominator?

Jayshree said: (Jun 23, 2016)  
How we get 99?

Hemanth said: (Nov 10, 2016)  
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.

Prakash said: (Feb 24, 2018)  
How to get 99?

Roopa said: (Jul 13, 2018)  
Any number is Divided by 99 will lead to recurring decimal.

Pankaj Shah said: (Sep 28, 2018)  
How we got 99 in the denominator? please explain in details.

Khushi said: (Mar 22, 2019)  
How come 594? Please explain it.

Mohit said: (Jun 22, 2019)  
6.46 RECURRING = 0.646 x10.
990 in denominator (from given importent formula),
So, 646-6 x 10 / 990 = 646/99.

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