Final answer:
In a fraction, the numerator is the number on the top, the denominator is on the bottom, and the operation between them is division. When adding fractions, we only add numerators if they have the same denominator. Multiplication and division of fractions are closely linked, as dividing by a number is the same as multiplying by its reciprocal.
Therefore, the correct answer is: a) Numerator, Denominator, Division.
Step-by-step explanation:
In a fraction, the numerator is the number on the top, and the denominator is the number on the bottom. The operation between these numbers is always division.
A fraction is a way of representing the division of one quantity by another. An example of this might be expressing a ratio such as 2:1 or 4:3 in fraction form, or as a percentage, which is simply a fraction with a denominator of 100.
When adding fractions, it is necessary that they have the same denominator; we add only the numerators while keeping the denominator the same. It's important to note that we never add denominators. On the contrary, when multiplying fractions, we multiply the numerators and denominators respectively.
Understanding fractions also extends to recognizing that a fraction with the same number on the top and bottom equals 1. This is a key principle in simplifying fractions where common factors in the numerator and denominator can cancel each other out.
Lastly, fractions are intimately related to the concepts of multiplication and division. Dividing by a number is essentially the same as multiplying by its reciprocal (the flipped version of the fraction). Hence, multiplication and division of fractions are closely linked operations.
Therefore, the correct answer is: a) Numerator, Denominator, Division.