Question

Determine a geratriz da dizima periodica D= 2,83333

Answer 1

2,83333 = x

28,3333 = 10x (2)
283,3333 = 100x (3)

Diminuindo 3 e 2 -> 90x = 255

x = 255/90

Answer 2

$2,8333...=2+ \frac{83-8}{90} =2 +\frac{75}{90}= 2 + \frac{5}{6} = \frac{12+5}{6}= \frac{17}{6}$