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

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

• A. The fraction decreases
• B. The fraction remains the same
• C. The fraction is multiplied by that number
• D. The fraction is squared

Answer: (C)

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.

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.