How do you subtract improper fraction in C programming language?

Answer 1

The following shows how this can be achieved:

typedef struct fraction {

int n; // numerator

int d; // denominator

};

struct fraction subtract (struct fraction a, struct fraction b) {

struct fraction r; // result

r.d = lcm (a.d, b.d); // lowest common multiple

r.n = (a.n * (r.d/a.d)) - (b.n * (r.d/b.d));

return r;

}

The lcm() function has the following definition:

int lcm (int a, int b)

{

int sign = 1;

if (a<0) a*=-1, sign *=(-1);

if (b<0) b*=-1, sign *=(-1);

return (a*b) / gcd (a,b) * sign;

}

The gcd() function (greatest common divisor) has the following definition:

int gcd (int a, int b)

{ int sign = 1;

if (a<0) a*=-1, sign *=(-1);

if (b<0) b*=-1, sign *=(-1);

while (a!=b)

a>b?a-=b:b-=a;

return a * sign;

}