Final answer:
The question appears to contain a typo or to be incomplete, since none of the provided options (1/2, 1/3, 1/4, 2/3) are equivalent to a whole yard (1/1). Without additional context, it is not possible to identify an equivalent fraction from the provided options.
Step-by-step explanation:
The student's question relates to equivalent fractions, which are different fractions that represent the same value. If Tracy buys a yard of ribbon, other fractions could represent this amount of ribbon. To find an equivalent fraction, you need to find a number that can multiply the numerator (top number) and the denominator (bottom number) to reach the new fraction.
Since the student's question doesn't specify the amount Tracy bought other than mentioning a yard, I will assume it is a whole yard – which is equivalent to 1/1. However, as this doesn't directly align with the options given (1/2, 1/3, 1/4, 2/3), the question may contain a typo or be incomplete. The given fractions (1/2, 1/3, 1/4, 2/3) are each distinct fractions and do not represent the same amount when considering a single yard as 1/1. Without further context or clarification on the original amount Tracy bought, it is not possible to determine an equivalent fraction from the provided options.