Question

Qual é o valor da expressão :
0,1161616...+3/2 - 1

Answer 1

0,11616161...
x=0,11616161...
100x=11,616161...
10000x=1161,616161...
10000x-100x=1161,6161...-11,616161...
9900x=1150
x=1150/9900
x=23/198

0,11616161...+3/2-1=
23/198+3/2-1=
23/198+99.3/198-198/198=
23/198+297/198-198/198=
320/198-198/198=
122/198=
61/99