jim and emily have 5 sacks of corn , and they want to share them out betwween 8 chicken coops, so that each coop gets (about) the same amount of corn they do not have any weighing or measuring apparatus available. jim says i just have to judge 5/8ths of a sac as best we can. Emily says i know a better way using egyptian fractions
What method would emily be planing to use?
I just read about this...and it's kind of interesting....here's the method
Take 4 of of the sacks and empty approximately 1/2 of each sack into each coop....then....each coop holds 1/2 of a sack
Now...there is one sack remaining....split this in half so each part is 1/2 of a sack...now....split each of these parts in half...so each part is now 1/4 of a sack.....finally....split each of the 4 parts in half so that each part is 1/8 of a sack (approximately)
So......add each 1/8 sack to each of the 8 coops.....and each coop now holds (approximately) 1/2 + 1/8 = 4/8 + 1/8 = 5/8 of a sack.....