Q: How do you name a fraction family?

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The name of a fraction with a larger number on top is called an improper fraction.

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the answer is the addition fraction answer

Unit fraction

In grade school textbooks language like this is informal, and the definition differs from book to book. In one book "the fraction family" can refer to how a number can be expressed in different ways. If so, a fraction, a decimal, and a percent are the three members of the fraction family. In another book "a fraction family" can refer to how fractions can be grouped into "families" of equivalent fractions (e.g.: 1/2, 2/4, 3/6...). Likely, there are even more definitions.

79 into a fraction = 79/1

A fraction does not have a button part.

184 is an integer, not a fraction.

Informally, you can say the top of the fraction. But the only official name is "numerator".

The best name for a fraction that has a numerator less than the denominator is common fraction. The name of a fraction with a number in the numerator greater than the denominator is improper fraction.

The question makes no sense. There's no such thing as a "biggest fraction"; name any valid finite fraction and I will name a larger one.