Final answer:
Tina's fabric is cut into four equal pieces, each measuring 1/4 yard in length. The correct answer, 0.25 yards, is not listed among the choices provided, indicating a possible typo in the question.
Step-by-step explanation:
Tina has a strip of fabric a yard long and she cuts it into four equal pieces. To find the length of each piece, we divide the total length of the fabric by the number of pieces. Since one yard is equivalent to 3 feet, this conversion can help us understand the question in more familiar terms, although it's not necessary to answer it.
In fractional terms, the fabric can be represented as 1 yard or ½ yard over 1 (4 yd/1), as dividing a quantity by 1 does not change its value. When we divide this by 4 to get the length of each piece, we treat it as multiplying by the reciprocal of 4, which is 1/4. So, the calculation is 1 yd multiplied by 1/4. This results in 1/4 yd for each piece, as the unit 'yard' does not change.
Therefore, each piece of fabric is 1/4 yard long, which simplifies to 0.25 yard. None of the answer choices provided (0.1 yd, 1 yd, 48 yd, 36 yd) are correct. The answer is 0.25 yards, which suggests there may be a typo in the provided choices.