Question

Determine as frações geratrizes das seguintes dízimas periódicas.
a)0,151515...
b)1,333...
c)2,3555...​

Answer 1

a)0,151515...= 15/99 :(3/3) = 5/33

b)1,333... = 1 +3/9= 1 +1/3 =4/3

c)2,3555...=235-23/90=212/90=106/45

Answer 2

resolução!

A ) 0,1515...

X = 15/99 ÷ 3

X = 5/33

B ) 1,333....

X = 13 - 1 / 9

X = 12/9 ÷ 3

X = 4/3

C ) 2,3555...

X = 235 - 23 / 90

X = 212/90 ÷ 2

X = 206/45