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  3. 6a. show that 2/n = 1/3n + 5/3n and use this ident

6a. Show that 2/n = 1/3n + 5/3n and use this identity to obtain the unit...

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Advance Math

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

6b. Show that 2/mn = 1/ (m ((m+n)/ 2 )) + 1/ (n ((m+n)/ 2 )) anduse 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 RhindMathematical Papyrus.

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

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