import math
denominators = [num * (num + 4) for num in range(1, 48, 2)]
common_denominator = math.lcm(*denominators)
numenator = sum([common_denominator // denominator for denominator in denominators])
gcd = math.gcd(numenator, common_denominator)
print(numenator // gcd, common_denominator // gcd, sep='\n')
>>> 808
>>> 2499