Lara's answer of \( \frac{12}{39} \) is indeed correct if she's multiplying \( \frac{4}{13} \) by the whole number 3.
Here's how it works:
\[ \frac{4}{13} \times 3 = \frac{4 \times 3}{13 \times 1} = \frac{12}{13} \]
However, \( \frac{12}{39} \) is not in simplest form. The correct simplest form of \( \frac{12}{39} \) is \( \frac{4}{13} \). To clarify, Lara's answer itself is correct because \( 12/39 \) is equivalent to \( 4/13 \), but the simplest form should be the answer given.
Therefore, the final assessment is:
- Yes, her answer was technically correct but not in simplest form.
So, the correct response for whether her answer was correct is "Yes, her answer was correct."