Question

Elizabeth claims that any fraction multiplied by 3/10 the product in will always be less than 3/10 give one fraction that agrees with Elizabeth's claim in one fraction that disagrees with Elizabeth's claim

Answer 1

Let's multiply 3/10 by 1/2.

`(3)/(10)\cdot(1)/(2)=(3)/(20)`

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

`(3)/(10)\cdot(5)/(2)=(15)/(20)=(3)/(4)`

Where 3/4 is greater than 3/10. This example does not agree with Elizabeth's claim.