01-addition-of-fractions

Problem Description

You are given four parameters: numer1 and denom1, representing the numerator and the denominator of the first fraction, and numer2 and denom2, representing the numerator and the denominator of the second fraction. Your task is to complete a function called 'solution'. This function should add the two fractions and express the result as a simplified fraction. The function should then return an array containing the numerator and denominator of the result in that order.

Constraints

All parameters (numer1, denom1, numer2, denom2) are greater than 0 and less than 1,000.

Input/Output Examples

Explanation of Input/Output Examples

• Example #1 1 / 2 + 3 / 4 equals 5 / 4. Therefore, you should return [5, 4].

• Example #2 9 / 2 + 1 / 3 equals 29 / 6. Therefore, you should return [29, 6].

My Solution

 
function solution(numer1, denom1, numer2, denom2) {
  // Calculate denominator and numerator of the sum
  let numer = numer1 * denom2 + numer2 * denom1;
  let denum = denom1 * denom2;
  
  // Start checking for common divisor from the smallest of the two numbers
  let divisor = denom < numer ? denom : numer;
  
  // Loop from the largest possible divisor down to 1
  while (true) {
    // If divisor is a common divisor of both numerator and denominator
    if (denum % divisor === 0 && numer % divisor === 0) {
      return [numer / divisor, denum / divisor];
    }
    // If not, decrement the divisor and try again
    divisor--;
  }
}