# Question: 6a show that 2n 13n 53n and use...

###### Question details

6a. Show that 2/n = 1/3n + 5/3n and use this identity to obtain the unit fraction decompositions of 2/25 , 2/65 , and 2/85 as given in the 2/n table in the Rhind Mathematical Papyrus.

6b. Show that 2/mn = 1/ (m ((m+n)/ 2 )) + 1/ (n ((m+n)/ 2 )) and use this identity to obtain the unit fraction decompositions of 2/7 , 2/35 , and 2/91 as given in the 2/n table in the Rhind Mathematical Papyrus.

6c. Verify that 2/ n = 1/n + 1/2n + 1/3n + 1/6n and use this identity to obtain the unit fraction decompositions of 2/101 as given in the 2/n table in the Rhind Mathematical Papyrus.