This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the fraction of land remaining after the son's share. The son was given (1)/(3) of the land. The remaining land is the total land (represented by 1) minus the son's share. Remaining land after son = 1 - (1)/(3) = (3)/(3) - (1)/(3) = (2)/(3) Step 2: Determine the fraction of land given to the daughter. The daughter was given (1)/(4) of the remaining land. Daughter's share = (1)/(4) × ((2)/(3)) = (2)/(12) = (1)/(6) Step 3: Determine the fraction of land remaining for the parents. The land remaining for the parents is the total land minus the son's share and the daughter's share. Parents' share = 1 - Son's share - Daughter's share Parents' share = 1 - (1)/(3) - (1)/(6) To subtract these fractions, find a common denominator, which is 6. Parents' share = (6)/(6) - (2)/(6) - (1)/(6) Parents' share = (6 - 2 - 1)/(6) = (3)/(6) = (1)/(2) Alternatively, after the son took (1)/(3), (2)/(3) of the land remained. The daughter took (1)/(4) of this remaining land. This means 1 - (1)/(4) = (3)/(4) of that remaining land was left for the parents. Parents' share = (3)/(4) × ((2)/(3)) = (6)/(12) = (1)/(2) The fraction of the land that remained for the parents is (1)/(2). That's 2 down. 3 left today — send the next one.