Final answer:
To solve for the remaining child's share of the inheritance, we sum up the fractions of the first three children's shares, which equals 9/10, and then subtract that from the whole (1) to get the remaining child's share, which is 1/10.
Step-by-step explanation:
To determine how much the remaining child will receive from the father's inheritance, we first need to calculate the total proportion of the inheritance that the first three children will receive. This can be done by adding their respective shares together.
The first child receives 1/3, the second 1/6, and the third 2/5. To find the sum of these fractions:
1/3 + 1/6 + 2/5 = (10/30) + (5/30) + (12/30)
= 27/30
= 9/10
Now we have the total share of the first three children which is 9/10.
Since the total inheritance is represented as the whole (which is 1), we subtract the share of the first three children from the total to find out the share for the remaining child:1 - 9/10 = 1/10
Therefore, the remaining child receives 1/10 of the inheritance.