Question

A geratriz de 1,2030303... é:
a)
$\frac{1191}{900}$
b)
$\frac{1173}{990}$
c)
$1 \times \frac{201}{990}$
d)
$1 \times \frac{183}{990}$
​

Answer 1

Resposta:

397/330

Explicação passo-a-passo:

Se x = 1,20303030..., então 100x = 120,30303030... .

100x = 120 + 0,303030...

100x = 120 + 30/99

100x = 120 + 10/33

100x = (3960 + 10)/33

100x = 3970/33

3300x = 3970

x = 3970/3300

x = 397/330