Question

encontre as fraçoes geratrizes das dizimas periodicas a)0,494... b)0,131313... c)1,666 d)10,111 e)1,17373737

Answer 1

a) x = 0,494949...
100x = 49,4949...
100x = 49 + x
99x = 49
x = 49/99

b) x = 0,131313...
100x = 13 + x
99x = 13
x = 13/99

c) x = 1,666...
x = 1 + 6/9
x = 15/9

d) x = 10,111...
x = 10 + 1/9
x = 91/9

e) x = 1,173737...
10x = 11 + 73/99
10x = 1162/99
990x = 1162
x = 1162/990