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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.

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Q: What is the fraction family?
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