Lara multiplied 4/13

Question

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

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

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.

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

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

Answer 1

To determine if Lara's answer is correct, we can start by checking her calculation of \( \frac{4}{13} \times 3 \).

When you multiply a fraction by a whole number, you multiply the numerator by that whole number:

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

Lara wrote the answer as \( \frac{12}{39} \). To check if this is correct, we can simplify \( \frac{12}{39} \):

Both 12 and 39 can be divided by 3:

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

So \( \frac{12}{39} = \frac{4}{13} \).

However, since \( \frac{12}{39} \) is not the answer she should have gotten (which was \( \frac{12}{13} \)), the final answer is:

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