Question

transforme as dizimas periódicas em fração:

a) 3,444...
b) 10,0505...
c) 5,0333...
d) 1,6777...
​

Answer 1

Resposta:

a)

$3.444... = 3 + 0.444... = \\ \\ 3 + \frac{4}{9} = \frac{31}{9}$

b)

$10.0505... = 10 + 0.0505... = \\ \\ 10 + \frac{5}{99} = \frac{995}{99}$

c)

$5.0333... = 5 + 0.0333 = \\ \\ 5 + \frac{3 - 0}{90} = \frac{453}{90}$

d)

$1.6777... = 1 + 0.6777... = \\ \\ 1 + \frac{67 - 6}{90} = \frac{151}{90}$