= 0.090909090909090909090909.... infinite decimal fraction with cyclically repeating digits 09 . ANSWER Such decimal fractions are called periodic decimal fractions.
0 . 0 9 0 9 ........... repeating the pattern ____________________________________________ 11 | 1 . 0 0 0 0 0 0 | 0 |------------- | 1 0 0 0 --------------- 1 0 0 9 9 --------------- 1 0 0 0 ------ 1 0 0 . . . etcetra