So i was messing around with egyptian fractions and i eventually decided to try adding them together and then reducing the one single fraction that formed into its lowest terms. Anyway i set them up with having 1 in the numerator ALWAYS (or else it won't work) and proceeded to add them up. Surprisingly enough after adding them up and reducing them to their lowest terms i would always get 2 interesting things, the LCM of the various numbers in the denominator and a prime number in the numerator. Note: This has only worked when i had 3 different fractions (again with 1 as the numerator), when i had 2 or 4 this method failed. Anyways try it out, maybe someone with more expertise may know something (i'm just a kid (Try out say 1/2 + 1/3 +1/4 and and see for yourself).