math

1.Read "count-like-an-egyptian"

Submit a text-only one page (250 word) summary here (unless you are designated as a

discussant for this class).

2.Read about Egyptian fractions ("count-like-an-egyptian-p13-21")

Fraction exercise #1

Find the problem to divide five by seven, on the right side of p.18 of the Egyptian Fractions

reading. Submit illustrations for each of the two solutions that are similar in spirit to the

author's illustrations of earlier problems.

Fraction exercise #2: Exotic fraction ruler

Make a strip of paper of any length, like a ruler. One meter would be good, for instance.

Mark the point halfway along its length.

Mark 1/3 and 2/3 in a different color.

Mark 1/4, 2/4, 3/4 in a different color.

Mark all the fifths in a different color.

Mark all the sixths in a different color.

Mark all the sevenths in a different color.

Mark all the eighths in a different color.

Mark all the ninths in a different color.

Mark all the tenths in a different color.

If you do this precisely and pick nice colors, the result is a pleasing and intriguing object you

will want to keep.

Submit a photo.

Fraction Bonus Exercise (optional challenge)

A stick is divided by red marks into 7 equal segments and by green marks into 13 equal

segments. Then it is cut into 20 equal pieces.

Do any pieces contain no marks?

Do any pieces contain more than one mark? Why or why not?