Discussion :: Decimal Fraction  General Questions (Q.No.26)
26.  The correct expression of 6.46 in the fractional form is: 

Answer: Option D Explanation:

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 = (6466)/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, 6466 x 10 / 990 = 646/99. 
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