The link below has the info you requested.
u = p r t r = u / p t
Find the missing letter F-O-R T-A-R P-U-_
Suppose you have the fractions p/q and r/s. Let the LCM of q and s be t.Then t is a multiple of q as well as of s so let t= q*u and t = s*v Then p/q = (p*u)/(q*u) = (p*u)/t and r/s = (r*v)/(s*v) = (r*v)/t have the same denominators.
irrupt
Mars, closer to the sun after the Asteroid Belt, and Saturn further from the sun. , My Very Educated Mother Just Served Us Nachos e ,,e ,,,,,a ,,,,,,,,,,,,,a ,,,,,,,,,u ,,,,,a ,,,,,,,,,r ,,e r ,,,n ,,,,,r ,,,,,,,,,,,,,,r ,,,,,,,,,p ,,,,,t ,,,,,,,,,a ,,p c ,,,u ,,,,,t ,,,,,,,,,,,,,s ,,,,,,,,,,i ,,,,,u ,,,,,,,,,n ,,t u ,,,s ,,,,,h ,,,,,,,,,,,,,,,,,,,,,,,,t ,,,,,,r ,,,,,,,,,u ,,u r ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,e ,,,,,n ,,,,,,,,,s ,,n y ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,r ,,,,,,,,,,,,,,,,,,,,,,e
"Irrupt" is spelled as I-R-R-U-P-T.
I would finish it with the letter 't'.
If the coordinates of the three vertices are A = (p, s) B = (q, t) and R = (r, u) then centroid, G = [(p+q+r)/3, (s+t+u)/3].
Picture.
p-u-b-e-r-t-y
S - p - o - n - g - e - b - o - b s - q - u - a - r - e - p - a - n - t - s p - a - t - r - i - c - k s - t - a - r - r s - q - u - i - d - w - a - r - d t - e - n - t - a - c - l - e - s e - u - g - e - n - e k - r - a - b - s p - l - a - n - k - t - o - n g - a - r - y
My Very Educated Mother Just Served Us Nine Pizzase e a a u a r e lr n r r p t a p uc u t s i u n t tu s h t r u u or e n s ny r eorMy Very Eager Mother Just Served Us Nine Pickleswhich ever works best for you :)