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

Answer 1

To multiply a fraction by a whole number, you multiply only the numerator (top number) of the fraction by the whole number and keep the denominator (bottom number) the same.

In this case, Lara multiplied $\frac{4}{13}$ by 3:

$$\frac{4\times 3}{13}=\frac{12}{13}$$

However, she wrote $\frac{12}{39}$, which is incorrect.

Now, let's simplify $\frac{12}{39}$:

The greatest common divisor of 12 and 39 is 3, so:

$$\frac{12÷3}{39÷3}=\frac{4}{13}$$

Thus, $\frac{12}{39}$ simplifies back to $\frac{4}{13}$, which means her answer is not correct as per the original multiplication.

Therefore, the response is:

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