Question

Encontre a fraçao geratriz de cada dizima periodica a seguir
a. 0,423423423
b.9,22222
c.0,919191
d.
0,87687867876
e. 0,4595959
me ajudem pfvvvvvvvvvvvvvvv

Answer 1

Explicação passo-a-passo:

a) $\sf 0,423423\dots=\dfrac{423}{999}=\red{\dfrac{47}{111}}$

b) $\sf 9,222\dots=\dfrac{92-9}{9}=\red{\dfrac{83}{9}}$

c) $\sf 0,919191\dots=\red{\dfrac{91}{99}}$

d) $\sf 0,876876\dots=\dfrac{876}{999}=\red{\dfrac{292}{333}}$

e) $\sf 0,45959\dots=\dfrac{459-4}{990}=\dfrac{455}{990}=\red{\dfrac{91}{198}}$