Question

transforme as dizimas periódicas abaixo para fração a) 0,666... b) 1,2121... c) 2,111... d) 3,3111...​

Answer 1

$> resolucao \\ \\ \geqslant fracao \: geratriz \\ \\ a \: > 0.666... \\ a > \frac{6 \div 3}{9 \div 3} \\ a > \frac{2}{3} \\ \\ = = = = = = = = = = = = = = = = = = = = \\ \\ \\ b > 1.2121... \\ b > \frac{121 - 1}{99} \\ b > \frac{120 \div 3}{99 \div 3} \\ b > \frac{40}{33} \\ \\ = = = = = = = = = = = = = = = = = = = = = \\ \\ c > 2.1111.... \\ c > \frac{21 - 2}{9} \\ c > \frac{19}{9} \\ \\ = = = = = = = = = = = = = = = = = = = = = = = \\ \\ d > 3.31111..... \\ d > \frac{331 - 33}{90} \\ d > \frac{298 \div 2}{90 \div 2} \\ d > \frac{149}{45} \\ \\ \\ \\ \\ > < > < > < > < > < > < > < > < > < > < >$