Final answer:
Each child receives 1/35 of the total batch of muffins when Parker divides the blueberry muffins, which are 1/7 of the total, equally among his five children.
Step-by-step explanation:
Parker made a batch of muffins and 1/7 of them were blueberry. He then divided these blueberry muffins equally among his five children. To find out which fraction represents the amount of the total batch each child received, we need to perform a simple calculation involving fractions.
Firstly, since 1/7 of the muffins are blueberry muffins and these are to be divided equally among five children, each child gets 1/7 divided by 5. Dividing fractions is the same as multiplying by the reciprocal of the divisor. Therefore, we multiply 1/7 by the reciprocal of 5, which is 1/5.
This gives us (1/7) × (1/5) = 1/35. So, each child receives 1/35 of the total batch of muffins.
This fraction represents the portion of the entire batch of muffins each child gets, showcasing an application of dividing fractions in a real-world scenario.