Final answer:
After adding the given fractions of men and women in the village, which total to 7/10, we find that the remaining fraction representing children is 3/10 of the village population.
Step-by-step explanation:
To determine what fraction of the village are children, we first add the fractions that represent the population of men and women. Since 3/10 of the population are men and 2/5 which can also be expressed as 4/10 of the population are women, we add these two fractions to get the total fraction representing adults:
3/10 + 4/10 = 7/10
This means that 7/10 of the village population are adults (men and women combined). Therefore, the fraction representing children is the remaining part of the whole, which is calculated by subtracting the fraction of adults from 1 (the whole population).
1 - 7/10 = 3/10
Thus, 3/10 of the village population are children.