Question

escreva a fraçao equivalentea dizima periodica 2,666.... cujo denominador e o numero 15

Answer 1

$2,666...=2+0,666...=2+ \frac{6}{9}=\frac{18}{9}+\frac{6}{9}=\frac{18+6}{9}=\frac{24^{:3} }{9_{:3}}= \frac{8}{3} \\ \\\\ \frac{8}{3}=\frac{8}{3}\cdot \frac{5}{5} = \frac{40}{15}$