The diagram below shows one way to represent the fraction $\frac { 1 } { 7 }$.  

1. Draw a similar diagram to represent $\frac { 3 } { 7 }$.

   Answer (a):

   

2. What is $\frac { 1 } { 7 } + \frac { 3 } { 7 }$? Use your diagram to justify your answer.

   Example diagram (b):

   

   Answer (b):

   $\frac { 1 } { 7 } + \frac { 3 } { 7 } = \frac { 4 } { 7 }$

3. Use a new diagram to add $\frac { 3 } { 5 } + \frac { 4 } { 5 }$.

   Example diagrams (c):

   

   Answer (c):

   $\frac { 3 } { 5 } + \frac { 4 } { 5 } = \frac { 7 } { 5 }$