The whole diagram represents 1. What fraction of the diagram is shaded?

Make an estimate that is:

Andre used number lines to find fractions that are equivalent to .

He drew this number line:

​​​​​Then he drew 3 copies of the number line. He wrote a different fraction for the same point on each line:

1. How did Andre use the number lines to find fractions equivalent to ? Explain your thinking to a partner.

2. How can number lines be used to show whether these pairs of fractions are equivalent?

   1. and
   2. and
3. Find 3 fractions that are equivalent to . Explain or show how Andre’s number lines can help.

1. Priya wants to find fractions that are equivalent to , other than . She wonders if she can find equivalent fractions with denominators 9, 10, and 12.

   Can it be done? Use number lines to show your reasoning.

   

   

   

   

2. Represent on a number line. Then find 2 fractions that are equivalent to . How would you use the number lines to show that they are equivalent to ?

   

   

3. Can you find an equivalent fraction for with 100 for the denominator? Explain or show your reasoning.