Question

Determine as frações geratriz a seguir
A) 1,25-2525...
B) 3,15-15 15...
C) 0, 5222...
D) 1,111...
E) 3, 0222...
F) 3,111...
G) 4,2121...
H) 5,0111...

Answer 1

Resposta:

Explicação passo a passo:

A)  1,252525... = 1 + 25/99 = 1.99+25/99 = 124/99

B)  3,151515... = 3 + 15/99 = 3.99+15/99 = 312/99 = 104/33

C)  0,52222... = 52-5/90 = 47/90

D)  1,1111... = 1 + 1/9 = 1.9+1/9 = 10/9

E)  3,02222... = 3 + 02-0/90 = 3 + 2/90 =

3.90+2/90 = 272/90 = 136/45

F)  3,11111... = 3 + 1/9 = 3.9+1/9 = 28/9

G)  4,212121... = 4 + 21/99 = 4.99+21/99 = 417/99 = 139/33

H)  5,01111... = 5 + 01-0/90 = 5 + 1/90 = 5.90+1/90 = 451/90