Question

resolva 1,12x3-0,131313...+4\99

Answer 1

1,12 * 3 - 0,131313... + 4/99
3,36 - 0,131313... + 4/99
3,36 - 13,131313...+ 4,99
100.x = 0,13.100
100x = 13 + 0,131313...
100x - 0,131313... = 13 (0,131313... = x)
99x = 13
x = 13/99
3,36 - 13/99 + 4/99
3,36 - 13/99 + 0,0404040...
99 * 3,36 -13/99 + 40 - 0/ 990
99* 3,36 - 13/ 99 + 40/ 990
319,64/ 99 + 40/ 990

99 * 990 = 98.010

990 * 319,64 + 99 * 40/ 98.010
316.443,6 + 3.960 / 98.010
320.403,6/ 98.010
3,26909090...