Question

1- Encontre a fração geratriz de cada dízima periódica.
a) 0,6 b) 1,1666666... c) 25,1221212121...

Answer 1

$> resolucao \\ \\ \geqslant fracao \: geratriz \\ \\ a \: ) \: 0.6 \: \: \: ou \: \: 0.6666... \\ \\ > 0.6 \\ > \frac{6 \div 2}{10 \div 2} \\ > \frac{3}{5} \\ \\ \\ > 0.6666... \\ > \frac{6 \div 3}{9 \div 3} \\ > \frac{2}{3} \\ \\ = = = = = = = = = = = = = = = = = = = = = = \\ \\ \\ b \: )1.16666..... \\ \\ > 1.16666.. \\ > \frac{116 - 11}{90} \\ > \frac{105 \div 15}{90 \div 15} \\ > \frac{7}{6} \\ \\ \\ = = = = = = = = = = = = = = = = = = = = \\ \\ \\ c \: )25.12212121.... \\ \\ > 25.12212121... \\ > \frac{251221 - 2512}{9900} \\ > \frac{248709 \div 3}{9900 \div 3} \\ > \frac{82903}{3300} \\ \\ \\ > < > < > < > < > < > < >$