Such fractions are known from Egyptian mathematics where we can find a lot of special representations of the numbers as a sum of an unit fractions, which are now called Egyptian fractions. From the Rhind papyrus as an example:
Many unit fractions are in the pairs of the adjacent fractions. An unit fractions are some successive or non-successive terms of any Farey sequence of a degree . For example the fractions and are adjacent, but they are not the successive terms in the Farey sequence . The fractions and are also adjacent and they are successive terms in the .
|Date of creation||2013-03-22 12:48:25|
|Last modified on||2013-03-22 12:48:25|
|Last modified by||XJamRastafire (349)|