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cmath

Convert Decimal number into Fraction

I am trying to convert decimal number into its fraction. Decimal numbers will be having a maximum 4 digits after the decimal place. example:- 12.34 = 1234/100 12.3456 = 123456/10000

my code :-

#include <stdio.h>
int main(void) {
  double a=12.34;
  int c=10000;
  double b=(a-floor(a))*c;
  int d=(int)floor(a)*c+(int)b; 
  while(1) {
     if(d%10==0) {
    d=d/10;
    c=c/10;
 }
 else break;
  }
  printf("%d/%d",d,c);
 return 0;
}

but I am not getting correct output, Decimal numbers will be of double precision only.Please guide me what I should do.

Solution

  • If your floating point number is x, then the numerator of the fraction over 10000 will be the integral part of (x + 0.00005) * 10000. It's up to you whether you want to reduce the fraction to simplest terms (i.e. divide out by the gcd of the numerator and denominator).