Question

escreva as dízimas periódicas na forma de fraçao:
a)0,333 b)-0,101010... c)0,5795795... d) 1,6363... e)-2,111 f)0,49974997

Answer 1

a) 0,3333 = 3/9 = 1/3

b) -0,101010 = -10/99

c)0,579579579= 579/999 = 193/333

d) 1,636363 = 1 + 63/99 = 99 + 63/99 = 162/99 = 18/11

e) -2,111 = -2 - 1/9 = -18 - 1/9 = -19/9  

f) 0,49974997 = 4997/9999