Final answer:
To find out what fraction of the siblings are girls, we multiply 1/3 (the fraction of classmates with siblings) by 1/2 (since half of the siblings are girls), resulting in 1/6.
Step-by-step explanation:
To find out what part of the siblings are girls, we start by knowing that 1/3 of the 32 classmates have siblings. This means that 32 divided by 3, which equals approximately 10.67, rounds to 11 classmates with siblings.
Since half of those siblings are girls, then we divide 11 by 2 to find out the number of girls among the siblings.
This results in 5.5, which we can round to 6 for simplicity assuming siblings cannot be a fraction of a person. So 6 classmates have sisters.
To determine the fraction of the total siblings that are girls, we acknowledge that the original fraction of classmates with siblings is 1/3. Consequently, half of this fraction, or 1/2 of 1/3, is girls.
Multiplying 1/2 by 1/3 we get 1/6. Therefore, the part of the siblings that are girls is 1/6.
Answer: A. 1/6