Question

Encontre as frações geratriz das dízimas periódicas:
a)0,888...
b)6,222...
c)0,313131...
d)6,424242...
e)0,2444...
f)6,70131313...

me ajudem por favor é pra amanhã.​

Answer 1

$> resolucao \\ \\ \geqslant fracao \: geratriz \\ \\ \\ a \: ) \: 0.88888... \\ \\ > 0.88888... \\ > \frac{8}{9} \\ \\ = = = = = = = = = = = = = = = = = = = \\ \\ b \: )6.2222..... \\ \\ \\ > 6.2222.... \\ > \frac{62 - 6}{9} \\ > \frac{56}{9} \\ \\ = = = = = = = = = = = = = = = = = = = = \\ \\ \\ c \: )0.313131.... \\ \\ > 0.313131... \\ > \frac{31}{99} \\ \\ = = = = = = = = = = = = = = = = = = = = = = = = = = \\ \\ d \: )6.424242.... \\ \\ > 6.424242.... \\ > \frac{642 - 6}{99} \\ > \frac{636 \div 3}{99 \div 3} \\ > \frac{212}{33} \\ \\ \\ = = = = = = = = = = = = = = = = = = = = \\ \\ e \: )0.24444... \\ \\ > 0.2444.... \\ > \frac{24 - 2}{90} \\ > \frac{22 \div 2}{90 \div 2} \\ > \frac{11}{45} \\ \\ \\ = = = = = = = = = = = = = = = = = = = = = \\ \\ \\ f \: )6.701313... \\ \\ > \frac{67013 - 670}{9900} \\ > \frac{66343}{9900} \\ \\ \\ \\ > < > < > < > < > < > < > < >$