Reduce fractions in C
Reducing Fractions in C
To reduce a fraction in C, you can use a function to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by the GCD to simplify the fraction.
Here's a step-by-step explanation:
- Find the Greatest Common Divisor (GCD): Use a function to find the GCD of the numerator and denominator. You can use the Euclidean algorithm to efficiently find the GCD.
c
int gcd(int a, int b) {
if (b == 0) {
return a;
} else {
return gcd(b, a % b);
}
}
[[SOURCE 4]]
- Use the GCD to Reduce the Fraction: Once you have the GCD, divide both the numerator and denominator by the GCD to simplify the fraction.
c
int reduceFraction(int numerator, int denominator) {
int commonDivisor = gcd(numerator, denominator);
numerator /= commonDivisor;
denominator /= commonDivisor;
// Return or print the simplified fraction
}
By dividing both the numerator and denominator by their GCD, you effectively reduce the fraction to its simplest form.
[[SOURCE 4]]
By following these steps, you can efficiently reduce fractions in C.