# 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

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.