Let's multiply 3/10 by 1/2.
[tex]\frac{3}{10}\cdot\frac{1}{2}=\frac{3}{20}[/tex]In this case, the product is less than 3/10. This the first example that agrees with Elizabeth's claim.
However, if we multiply 3/10 by 5/2, the result will be greater
[tex]\frac{3}{10}\cdot\frac{5}{2}=\frac{15}{20}=\frac{3}{4}[/tex]Where 3/4 is greater than 3/10. This example does not agree with Elizabeth's claim.
