Hello, Bartimaeus!

I'm not sure of the terminology, but IthinkI understand . . .

List the families of repetends of fractions with the denominator 73.

Give an example of a fraction which has each repetend.

Please include:

- The correct number of families

- Any six correct repetends

- The remaining correct repetends

- A correct member of each of the families

We have: . ... a repeating decimal with an 8-digit cycle.

If we "cycle" the digits, we get seven more fractions of the family.

. .

I will abbreviate this: .

There areninefamilies:

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Note: I didnotcrank out and examine all seventy-two decimals.

. . . . .I "invented" some labor-saving shortcuts.

If you are interested in these methods, please let me know.