Let the total candy bar be represented by x.
Amount of chocolate Kaitlyn gave to Arianna = [tex] \frac{1}{2}x [/tex]
Amount of chocolate Arianna gave Cameron
= [tex] \frac{1}{3} [/tex] rd of the candy she got from Kaitlyn to Cameron
= [tex] \frac{1}{3} [/tex] × [tex] \frac{1}{2}x [/tex]
= [tex] \frac{1}{3}* \frac{1}{2} x = \frac{1}{6} x[/tex]
Hence, Cameron got [tex] \frac{1}{6} [/tex] th of the original chocolate.