What happens to a fraction if you multiply its numerator or divide its denominator by a number?

When you multiply the numerator of a fraction by a number, the overall value of the fraction increases, since you are increasing the number that represents the part of the whole. For example, if you have the fraction 1/2 and you multiply the numerator by 2, the fraction becomes 2/2, which equals 1. This demonstrates that the fraction has effectively been multiplied by that number.

On the other hand, if you divide the denominator of a fraction by a number, you are also increasing the value of the fraction. Using the same example of 1/2, if you divide the denominator by 2, the fraction changes to 1/(2/2), which simplifies to 1/1, also equal to 1. Here, again, the value of the fraction has increased.

Thus, multiplying the numerator or dividing the denominator by a number results in the fraction being effectively multiplied by that number, which leads to an increase in its overall value. This is why the selected answer is the correct choice.