A father in his will gives 2/5 of his property each to his son and daughter and rest to his servant.what fraction of the property he gives to the servant
Answers
Answer:
1/5
Step-by-step explanation:
son = 2/5
daughter=2/5
land given to daughter and son=2/5+2/5=4/5
servant = 5/5-4/5=1/5
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Given:
Part of property given to son= 2/5
Part of property given to daughter= 2/5
To find:
Fraction of property given to the servant
Solution:
We can find the solution by following the given steps-
We know that the total of all parts of a fraction is always 1.
Also, the part of the property given to the son= the part of the property given to the daughter.
Let the total property be X.
Son's part= 2X/5
Daughter's part= 2X/5
So, property given to son+ property given to daughter + property given to servant= 1
2X/5+2X/5+ servant's part= 1
4X/5 + servant's part= 1
Servant's part= 1- 4X/5
= X/5
The servant's part is 1/5 of the total property.
Therefore, the fraction of the property given to the servant is 1/5.