Question

Lara multiply 4 / 13 * 3 and got 12/39 was her answer correct A Yes her answer was correct B No she should have multiply only the numerator by the whole number C No she should have multiplied only the denominator by the whole number D her answer was correct but she did not write it in simplest form

Answer 1

To determine whether Lara's answer of 12/39 is correct for the multiplication of \( \frac{4}{13} \times 3 \), let's calculate the multiplication step by step.

When multiplying a fraction by a whole number, you multiply the numerator by the whole number while keeping the denominator the same.

Here’s the calculation:

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

Lara calculated \( \frac{4}{13} \times 3 \) and got \( \frac{12}{39} \).

Next, let's see if \( \frac{12}{39} \) can be simplified:
\[
\frac{12}{39} = \frac{12 \div 3}{39 \div 3} = \frac{4}{13}
\]
So, \( \frac{12}{39} \) is equivalent to \( \frac{4}{13} \), which is the original fraction, but it is not the correct answer for \( \frac{4}{13} \times 3 \).

Since she did not arrive at the correct final answer \( \frac{12}{13} \), we can conclude that:

The correct choice is **B No she should have multiplied only the numerator by the whole number**.