Unit Fractions: Terminating, Repeating or Never-Ending?

Investigate patterns that emerge when unit fractions are converted into decimal form.


Consider the unit fraction 1/n, for . What patterns do you notice in the decimal form of these unit fractions? What do you notice about the terminating decimals? The repeating decimals? The decimals that repeat after a delay? Using a spreadsheet may help in your investigations.

Extensions:
Which unit fraction () has the decimal expansion of longest period?

Dividing by Zero