Anup cut a plum cake into 13 equal pieces. He gave 3 pieces to his friend and \[\frac{4}{13}\] of the cake to his brother, \[\frac{2}{13}\] of the cake to his sister and ate the remaining cake. What fraction of the plum cake did Anup eat?

• A.  \[\frac{4}{13}\]                               
• B.  \[\frac{3}{13}\]
• C.  \[\frac{6}{13}\]                               
• D.   \[\frac{5}{13}\]