Pooja claims that 5/9 and 15/27 are equivalent, but 5/9 and 16/27 are also equivalent. Using simplest forms, which of her two claims is correct?

Question

Accepted Answer

Only 5/9 = 15/27. 15/27 = 5/9 (divide by 3), so the first claim is true. 16/27 does not reduce to 5/9, so the second is false.

Pooja claims that $\frac{5}{9}$ and $\frac{15}{27}$ are equivalent, but $\frac{5}{9}$ and $\frac{16}{27}$ are also equivalent.
Using simplest forms, which of her two claims is correct?