We need to evaluate the fractions below:
[tex]\frac{2}{3},\frac{4}{6},\frac{8}{12},\frac{16}{24},\ldots[/tex]
All these fractions have the same value, they're equivalent to "2/3". On each step there is a product of 2 on the numerator and 2 on the denominator, therefore they're related by the factor of "2/2". If we multiply the last term by the factor we get:
[tex]\frac{16}{24}\cdot\frac{2}{2}=\frac{32}{48}[/tex]
The only one statement that is false is: "Each fraction is greater than the previous fraction". They all have the same value, so the correct option is the third.
