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Home > CC1 > Chapter 4 > Lesson 4.2.3 > Problem 4-71


diagram George drew the diagram at right to represent the number . “Look,” said Helena, “This is the same thing as .” What do you think? Explore this idea in parts (a) through (c) below. 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.

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

    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

  2. Draw a diagram to represent the mixed number . How can you write this as a single fraction greater than one?

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

    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?

  3. How can you write as a mixed number? Be sure to include a diagram in your answer.

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