Aptitude - Decimal Fraction - Discussion
Discussion Forum : Decimal Fraction - General Questions (Q.No. 26)
26.
The correct expression of 6.46 in the fractional form is:
Answer: Option
Explanation:
| 6.46 = 6 + 0.46 = 6 + | 46 | = | 594 + 46 | = | 640 | . |
| 99 | 99 | 99 |
Discussion:
21 comments Page 1 of 3.
Purushotham said:
1 decade ago
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.
6.46 = (646-6)/99.
= 640/99.
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.
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)
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.
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)
Ramya said:
1 decade ago
0.46 recurring is equal to 0.46464646464646464646464646464646
46/99=0.46464646464646464646464646464646
however 46/100 is simply 0.46
Thanks the difference!
46/99=0.46464646464646464646464646464646
however 46/100 is simply 0.46
Thanks the difference!
Narasingarao said:
1 decade ago
Shanti, Priyanka, SC Yadav.
Refer Important formula. Formula No.6.
CONVERTING A PURE RECURRING DECIMAL INTO VULGAR FRACTION.
Refer Important formula. Formula No.6.
CONVERTING A PURE RECURRING DECIMAL INTO VULGAR FRACTION.
Suresh said:
1 decade ago
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.
(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.
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.
990 in denominator (from given importent formula),
So, 646-6 x 10 / 990 = 646/99.
(2)
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.
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