Final answer:
The daughter received more money from her father because 1/2, the amount she received, is greater than 1/3, the amount her son received.
Step-by-step explanation:
To compare how much money the daughter and son received, we need to find a common denominator for 1/2 and 2/6. The common denominator for 1/2 and 2/6 is 6. When we rewrite 1/2 and 2/6 with the common denominator, we get 3/6 for 1/2 and 2/6 for 2/6. Now we can easily see that the daughter received more money because 3/6 is greater than 2/6.
The question at hand involves calculating and comparing fractions to determine who received more money from the father: the daughter or the son. The father distributed 1/2 of his money to his daughter and 2/6 (which simplifies to 1/3) of his money to his son. To determine who got more, we compare the fractions 1/2 and 1/3.
When comparing these two fractions, we see that 1/2 is equivalent to 3/6, which is larger than 2/6 or 1/3. Therefore, the daughter received more money, because one half is greater than one third.