Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online course: Basic Mathematics - Real Numbers

Decimal Fractions

[previous page] [next page] [table of contents][page overview]
A rational number $ p/q$ can be written as a finite decimal fraction

$\displaystyle \frac{p}{q} = a_1\cdots a_m.b_1\cdots b_n\, , $

if and only if the denominator $ q$ contains only $ 2$ and $ 5$ as prime factors.

If $ q$ contains other prime factors as well, then $ p/q$ can be written as an infinite periodical decimal fraction:

$\displaystyle \frac{p}{q} = a_1\cdots a_m.b_1\cdots b_n\overline{c_1\cdots c_k} \,, $

where the sequence $ c_1\cdots c_k$ repeats itself infinitely often.

(Authors: Höllig/Kopf/Abele)

(temporary unavailable)

(temporary unavailable)
[previous page] [next page] [table of contents][page overview]
  automatically generated 10/31/2008