The Farmer's Bequest
The lawyer solemnly broke the seal on the will of the late farmer Brown. Seated at the table with him were the farmer's three sons, Tom, Dick, Harry, and their neighbor, farmer Green. The lawyer opened the folded paper, and began to read: "I bequeath my seventeen cows to my three sons, to be divided as follows: one half of the cows to my eldest, Tom; one third of the cows to Dick; and one ninth of the cows to my youngest, Harry."
The lawyer put down the will, took out a pencil, and did some rapid figuring on a pad. Then he said, "That means that Tom gets 8 1/2 cows, Dick gets 5 2/3 cows, and Harry gets 1 8/9 cows." He smiled, very pleased with himself for being so learned and clever.
"You may be very good in arithmetic," Tom said somewhat sourly, "but it is obvious you don't know anything about farming. Half of a cow is half of a dead cow, and dead cows don't give any milk."
"His arithmetic is no good either," said Harry. "If you add 8 1/2, 5 2/3, and 1 8/9, the sum is only 16 1/18." The three sons glared suspiciously at the lawyer, wondering if he was trying to cheat them out of 17/18 of a cow. The lawyer looked helplessy toward farmer Green, and shrugged his shoulders.
Farmer Green stroked his beard calmly, and said, "Keep your tempers, boys. I know how you can divide the cows as your father wished, without killing any cows, and with no pieces of cows left over. Just wait here while I go to my barn." When he returned from his barn, he showed them how the will could be carried out, to the sons' satisfaction and the lawyer's great relief. Haw was it done?