On Friday night, John ate half a pizza for dinner and had the remaining half pizza left over. On Saturday, he ate one-third of what was left and ate the rest on Sunday. How much pizza did John eat on Sunday? Simplify your answer as a proper fraction or as a whole or mixed number.

Question

( A ) $\large\frac{1}{5}$
( B ) $\large\frac{1}{8}$
( C )$ \large\frac{1}{3}$
( D ) $\large\frac{1}{6}$