CPM Homework Help : MC1 Problem 6-58

. George drew the diagram at right to represent the number 2. "Look," said Helena, "This is the same thing as ." Homework Help ✎
1. Is Helena correct? If so, explain how she can tell that the diagram represents . If she is not correct, explain why not.
2. Draw a diagram to represent the mixed number 3. How can you write this as a single fraction greater than one?
3. How can you write as a mixed number? Be sure to include a diagram in your answer.

Hint (a):

How much does each piece represent?
How many pieces are shaded?

Answer (a):

Since each square is divided into 5 equal pieces, each piece is equal to one-fifth.
There are 12 shaded pieces, so this diagram represents

$\frac{12}{5}.$

Hint (b):

Use the diagram for part (a) to help you design this diagram.
How many pieces are in a whole? How many do you shade?

More Help (b):

To represent this mixed number as a single fraction greater than one, 11 equal pieces will need to be shaded.
How much of a whole will each piece represent?

Hint (c):

How many whole numbers does this represent?
How many pieces are left over?
Remember to draw a diagram.