Final answer:
Mrs. Brown can only give out 2/3 of a yard to one student or 1/2 a yard to one student, with 1/6 of the yard remaining. No student can receive 3/2 or 3/4 of a yard as it is more than what Mrs. Brown has.
Step-by-step explanation:
The question involves determining how many students can receive a specified fraction of fabric (in yards) that Mrs. Brown has. Mrs. Brown has 2/3 of a yard of fabric to distribute. To answer the question, we need to consider each fraction part.
- For 2/3 of a yard, only one student can receive this amount, because it is the total amount of fabric available.
- For 3/2 (which is 1 and 1/2), none of the students can receive this amount, as it exceeds the total available fabric.
- For 1/2, one student can receive this amount, with 1/6 of the yard remaining.
- For 3/4, again, none of the students can receive this amount because it is greater than the total available fabric.
It's important to consider that fractions can be evaluated relative to a single unit. In the context of fractions of a yard, understanding the relationship between parts of a whole and division among recipients is essential.