Question

transformati fractiile zecimale periodice in fractii ordinare
1,(5)...................................
1,(12)................................

0,(231).................................
5,1(3).....................................
3,2(3).....................................
1,2(13)...................................

Answer 1

15-1 supra 9 = 14 supra 9
112-1 supra 99 =111 supra 99
231 supra 999= 77 supra 333
513-51 supra 90=462 supra 90=231 supra 45
323-32 supra 90=291 supra 90
1213-12 supra 990=1201 supra 990

Answer 2

$\frac{15-1}{9}= \frac{14}{9} \\ \\ 1,(12)= \frac{112-1}{99}= \frac{111}{99}=\frac{37}{33} \\ \\ 0,(231 )= \frac{213}{999}= \frac{71}{333}\\ \\ 5,1(3)= \frac{531-51}{90}= \frac{462}{90}= \frac{231}{45} \\ \\ 3,2(3)= \frac{323-321}{90}= \frac{291}{90}= \frac{97}{30} \\ \\ 1,2(13)= \frac{1213-12}{990} = \frac{1201}{990}$