A man sold 1/2 of his land. He gave 1/2 of the remaining portion to his son and 1/2 of the remaining to his daughter. What fraction of his land is left with him

Suppose the land is 100%

He sells 50% , gives 1/2 of the other 50% to his son,that is, 25% goes to his son. From the remaining 25%, half goes to his daughter i.e, 12.5%. what remains with him is the other 12.5 % that is 12.5 /100 = 1/8th of the whole land.

  • -8
Total land fraction = 1 Land that he sold = 1 of 1/2 = 1/2 Land gave to his son= 1/2 of 1/2 = 1/4 land gave to his daughter= 1/4 of 1/3 =1/12 Total land left =1/12
  • -2
He does not have any land left
  • -2
FRACTION OF THE WHOLE LAND =1
FRACTION OF THE LAND SOLD = 1/2
FRACTION OF LAND LEFT = 1 - 1/2 = 1/2
FRACTION OF THE LAND GIVEN TO HIS SON = 1/2 * 1/2 = 2/4 = 1/4
FRACTION OF LAND LEFT = 2/4 - 1/4 = 1/4
FRACTION OF LAND GIVEN TO HIS DAUGHTER = 1/4 * 1/3 = 1/12
FRACTION OF LAND LEFT WITH HIM = 1/4 -1/12 = 3/4 - 1/12 = 2/12 =1/6

THEREFORE, FRACTION OF LAND LEFT WITH HIM = 1/6
  • 0
7/12
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