Question

URGENTE! TRABALHO DE QUARENTENA!
Obtenha as geratrizes das seguintes dizimas periódicas: 2,666... 3,4848... 1,7555... 0,352121... 0,35444... 2,5424242...

Answer 1

Resposta:

Explicação passo-a-passo:

$2,666...=2+\frac{6}{9} =\frac{24}{9} =\frac{8}{3} \\\\3,4848...=3+\frac{48}{99} =\frac{345}{99} =\frac{115}{33}$

$1,7555...=1+\frac{7}{10} +\frac{5}{90} =\frac{90}{90}+ \frac{63}{90}+ \frac{5}{90}=\frac{158}{90} =\frac{79}{45}$

$0,352121...=\frac{35}{100} +\frac{21}{9900} =\frac{3465}{9900} +\frac{21}{9900} =\frac{3486}{9900} =\frac{1743}{4950} =\frac{581}{1650}$

$0,35444...=\frac{35}{100} +\frac{4}{900} =\frac{315}{900}+ \frac{4}{900}=\frac{319}{900}$

$2,5424242...=2+\frac{5}{10} +\frac{42}{990} =\frac{1980}{990}+ \frac{495}{990}+ \frac{42}{990} =\frac{2517}{990}=\frac{839}{330}$