Question

Qual a fração geratriz de :
a)0,24111...
b)1,38181
c)1,417417
d) 0,42

Answer 1

a)0,24111..... = 241 - 24 /900 = 217/900

b)1,38181.... = 1 + 381- 3 /990  = 1 + 378 / 900 = 1 x 990 + 378 / 990
= 990 + 378 /990  = 1368 / 990  simplifica  por 9 =  152/110  = 76/55

c)1,417717...... = 1 + 417/999 = 1 x 999 + 417 /999 = 999 + 417 / 999 =
= 1416/999  simplifica  = 472/333

d)0,42 = 42/99 =  simplifica = 14/33