To check if Lara's answer is correct, we need to multiply \( \frac{4}{13} \) by 3 and see if she arrived at the correct result.
Here’s how you do it:
\[ \frac{4}{13} \times 3 = \frac{4 \times 3}{13} = \frac{12}{13} \]
Lara's answer was \( \frac{12}{39} \). Now we need to check if \( \frac{12}{39} \) is equivalent to \( \frac{12}{13} \).
We can simplify \( \frac{12}{39} \):
To simplify \( \frac{12}{39} \), we can divide the numerator and the denominator by their greatest common divisor, which is 3:
\[ \frac{12 \div 3}{39 \div 3} = \frac{4}{13} \]
So, \( \frac{12}{39} \) simplifies to \( \frac{4}{13} \), which is not equal to \( \frac{12}{13} \).
Therefore, Lara's answer was incorrect.