Jomon Fraction

Abstract

Definition There exists a line segment. The author lets the length of the line segment be one. The line segment does not have endpoints. The author calls the line segment a unit line segment. There exists another line segment that has already been divided. If the author multiplies the line segment by two, the line segment becomes equal to the unit line segment. Then, the length is one half. The author calls the line segment a fraction line segment. The author considers another example. There exists another line segment that has already been divided. If the author multiplies the line segment by three and divides the multiplied line segment by two, the line segment becomes equal to the unit line segment. Then, the length is two thirds. The author generalizes this example. There exists a line segment that has already been divided. If the author multiplies the line segment by number A and divides the multiplied line segment by number B, the line segment becomes equal to the unit line segment. Then, the length is B Ath. The author defines a fraction line segment. There exists a line segment that has already been divided. Definition 1. A fraction line segment is a line segment such that if the author multiplies the line segment by number A and divides the multiplied line segment by number B, the line segment becomes equal to the unit line segment. Then, the length is B Ath.