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]