Equivalent Fractions on a Multiplication Table

Essential Question How can you generate equivalent fractions using a multiplication table?

You can use a model to show the equivalent fractions \(\frac{1}{2}\) , \(\frac{2}{4}\) , and \(\frac{3}{6}\) .

\(\frac{1}{2} = \frac{2}{4} = \frac{3}{6}\)         

Think: The same amount is shaded in the models; the second model and third model have more parts shaded.

UNLOCK the Problem

You can use a multiplication table for other equivalent fractions for \(\frac{1}{2}\) .

Activity

What are some equivalent fractions for \(\frac{1}{2}\) ?

Materials ∗ multiplication table

• Shade the row for the numerator of the fraction \(\frac{1}{2}\). 
  The numerator is 1.
• Shade the row for the denominator of the fraction \(\frac{1}{2}\). 
  The denominator is 2.
• Look across the rows for numerator 1 1 and denominator 2.

Write the products with the numerator 1 as factor. The write the products with the denominator 2 as factor. The first three are done for you.

\(\frac{numerator}{denominator} = \frac{1}{2} = \frac{2}{4} = \frac{3}{6} = \frac{4}{8} = \frac{6}{12}\)