How to seperate fractional and decimal part in a real number

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Hi, Please help me in seperating fractional and decimal part in a real number. For example: If the value is '1.23', I need to seperate decimal part '1' and 'fractional part '0.23'.
Thanks and regards, soumya..
  5 Comments
Jeremy Wood
Jeremy Wood on 5 Jul 2017
Try using the floor operator to get the greatest integer below your number then subtract out your integer. For example 1.5 - floor(1.5) 0.5. It's trickier with negative numbers though so try using the absolute value of the number then when you get your fractional part multiply it by -1 so for -1.5 you would do -1*(1.5 - floor(1.5))
Bart McCoy
Bart McCoy on 25 Jul 2018
EXTRACTING THE INTEGER PART
Extracting the integer part can be the most tricky part. MATLAB's "fix" function rounds toward zero, which is useful because it extracts the integer part of BOTH positive and negative numbers. It returns doubles and also works on NxM arrays.
By contrast, the "ceil" function always rounds upward, to the next integer in the POSITIVE direction; "floor" always rounds down, to the next integer in the NEGATIVE direction. Use whatever makes sense, but note:
INTEGER EXTRACTION: fix(pi) = 3; fix(-pi) = -3;
ROUNDING UP: ceil(pi) = 4; ceil(-pi) = -3;
ROUNDING DOWN: floor(pi) = 3; floor(-pi)= -4;
EXTRACTING THE FRACTIONAL PART:
fractional_part = value - fix(value);

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Accepted Answer

Walter Roberson
Walter Roberson on 14 Feb 2016
number = -1.23
integ = fix(number)
frac = mod(abs(number),1)
  2 Comments
CS MATLAB
CS MATLAB on 19 Sep 2016
What if the number is unknown and you want to compare decimal value with something..
Walter Roberson
Walter Roberson on 19 Sep 2016
Comparing the fraction is risky
If you want to compare to a certain number of decimal places, N, I recommend comparing round(number*10^N)

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More Answers (5)

Naz
Naz on 16 Nov 2011
number=1.23;
integ=floor(number);
fract=number-integ;
  1 Comment
Walter Roberson
Walter Roberson on 16 Nov 2011
That fails on negative numbers. For negative numbers, you need fract=number-ceil(number)

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Revant Adlakha
Revant Adlakha on 24 Feb 2021
Edited: Revant Adlakha on 24 Feb 2021
How about this?
sign(x)*(abs(x) - floor(abs(x)))
% Number -> x = -1.23
% Answer -> -0.23
% Number -> x = 1.23
% Answer -> 0.23

Resam Makvandi
Resam Makvandi on 26 Dec 2012
Edited: Walter Roberson on 24 Feb 2021
i think the better way is to use:
number = 1.23;
integ = fix(number);
fract = abs(number - integ);
it works for both negative and positive values.
  2 Comments
Les Beckham
Les Beckham on 25 Jan 2023
Did you try it?
x = [0.2, 1.2 1.0]
x = 1×3
0.2000 1.2000 1.0000
integ = fix(x)
integ = 1×3
0 1 1
fract = abs(x - integ)
fract = 1×3
0.2000 0.2000 0

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Are Mjaavatten
Are Mjaavatten on 9 Feb 2016
Edited: Are Mjaavatten on 9 Feb 2016
mod(number,1)
  5 Comments
Are Mjaavatten
Are Mjaavatten on 13 Feb 2016
Point taken. I should be old enough to have learned to read the problem definition. Still, I think it is nice to have a single command for the fractional part.
Jan
Jan on 13 Feb 2016
What about rem instead of mod?
abs(rem(-0.123, 1)) % => 0.123

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Kh.Ehsanur Rahman
Kh.Ehsanur Rahman on 13 Feb 2016
what if the number is -1.23.

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