Respuesta :

Answer:

one - sixth  = [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

 Let the whole cake = 1

lf we divide 1, into 3 parts, we would get;

                       [tex]\frac{1}{3}[/tex]  , [tex]\frac{1}{3}[/tex] , [tex]\frac{1}{3}[/tex]

Then,

    He eats one half of a piece;

 A piece is [tex]\frac{1}{3}[/tex];

   One half of it = [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{3}[/tex]   = [tex]\frac{1}{6}[/tex]