### Project 5.6

** ** ** Historical Quest**

We mentioned that the Egyptians wrote their fractions as sums of unit fractions. Show that every positive fraction less than 1 can be written as a sum of unit fractions. *Reference ***Bernhardt Wohlgemuth**, “Egyptian Fractions,” *Journal of Recreational Math,* Vol. 5, No. 1 (1972), pp. 55-58.

### Project 5.7

**Historical Quest**

The Egyptians had a very elaborate and well developed system for working with fractions. Write a paper on Egyptian fractions.

*References:*

**George Berzsenyi**, “Egyptian Fractions,” *Quantum,* November/December 1994, p. 45.

Follow up comment in *The College Mathematics Journal*, March 1995, p. 165.

** Richard Gillings**, *Mathematics in the Time of the Pharaohs* (New York: Dover Publications, 1982).

**Spencer Hurd**, “Egyptian Fractions: Ahmes to Fibonacci to Today,” *Mathematics Teacher,* October 1991, pp. 561-568.** **