Question

qual e a fracao geratriz dizima periotica de 0,2555...

Answer 1

Resposta:

x=23/90

Explicação passo-a-passo:

x=0,255555

10x=2,5555

100x=25,55555

subtraindo 10x de 100x temos,

100x=25,5555

-10x= -2,555

_____________

90x=23

x=23/90

Answer 2

$\large\boxed{\begin{array}{l}\sf x=0,2555\cdot10\\\sf 10x=2,555...\cdot10\\\sf 100x=25,555...\\-\underline{\begin{cases}\sf 100x=25,555...\\\sf 10x=2,555...\end{cases}}\\\sf 90x=23\\\sf x=\dfrac{23}{90}\end{array}}$