Sharing out chocolate cake

This task is about sharing fractions of a cake.

Dianna had a cake of chocolate divided into 16 segments. She shared it with her friends.


John was given \(1 \over 4\), Hana \(1 \over 8\), Ben and Nan \(1 \over 16\) each, and Mary \(2 \over 16\).

  
a)
  
Show how many segments each of Dianna's friends would get by writing their names on the segments below.
  

  
  
    

  

  

  
  
  
    

  

  

  
   
   
    
     
   
   
    
  
  
  
  
  
  

b)
 
What fraction did Dianna have left? __________