Question

1-Qual fração geratriz representa as dízimas periódicas:
a) 5,3333... b) 3,5999... c) 3,595959... d) 3,141414...

Answer 1

a) 5,3333... =53-5/9=48/9=16/3

b) 3,5999... = 3,6

c) 3,5959... = 359-3/99= 356/99

d) 3,141414...= 314-3/99 = 311/99

Answer 2

Resposta:

a) 16/3

b) 18/5

c) 356/99

d)311/99

Explicação passo-a-passo:

a) $5+\frac{3}{9}= \frac{45+3}{9} = \frac{48}{9} = \frac{16}{3}$

b) $\frac{359-35}{90} = \frac{324}{90} = \frac{18}{5}$

c) $\frac{359-3}{99} = \frac{356}{99}$

d) $\frac{314-3}{99} = \frac{311}{99}$