Lara multiplied 4/13

Question

times 3 and got 12/39
. Was her answer correct?(1 point)
Responses

No, she should have multiplied only the denominator by the whole number.
No, she should have multiplied only the denominator by the whole number.

Her answer was correct, but she did not write it in simplest form.
Her answer was correct, but she did not write it in simplest form.

Yes, her answer was correct.
Yes, her answer was correct.

No, she should have multiplied only the numerator by the whole number.

Answer 1

To check Lara's calculation, we can multiply \( \frac{4}{13} \) by 3. When multiplying a fraction by a whole number, you multiply the numerator by the whole number and keep the denominator the same.

So, the calculation is as follows:

\[ \frac{4}{13} \times 3 = \frac{4 \times 3}{13} = \frac{12}{13} \]

Lara got \( \frac{12}{39} \).

Next, let's see if \( \frac{12}{39} \) is equivalent to \( \frac{12}{13} \). We can simplify \( \frac{12}{39} \) by finding the greatest common divisor of 12 and 39, which is 3:

\[ \frac{12 \div 3}{39 \div 3} = \frac{4}{13} \]

Thus, \( \frac{12}{39} \) simplifies back to \( \frac{4}{13} \), showing that her calculation is incorrect.

The correct response is:

No, she should have multiplied only the numerator by the whole number.