Question

Fraçao geratriz das dizimas periotica conpostas 7,15555?

Answer 1

$\Large\boxed{\begin{array}{l}\sf x=7,1555...\cdot10\\\sf 10x=71,555...\cdot10\\\sf 100x=715,555...\\-\underline{\begin{cases}\sf 100x=715,555...\\\sf 10x=71,555...\end{cases}}\\\sf 90x=644\\\sf x=\dfrac{644\div2}{90\div}\\\\\sf x=\dfrac{322}{45}\end{array}}$