Question

Fração Geratriz.. Ajudem aí pessoal

Answer 1

$a)\ 0,0321321...= \frac{10}{10}\cdot0,0321321...= \frac{1}{10} \cdot 0,321321...= \frac{1}{10} \cdot \frac{321}{999}\\ \frac{321^{:3}}{9990_{:3}}= \frac{107}{3330}$

$b)\ 1,14333...= 1,14+0,00333... = \frac{114}{100} + \frac{100}{100}\cdot0,00333...\\ = \frac{114^{:2}}{100_{:2}} + \frac{1}{100}\cdot0,33333...= \frac{57}{50} + \frac{1}{100}\cdot \frac{3^{:3}}{9_{:3}} = \frac{57}{50} + \frac{1}{100}\cdot \frac{1}{3} = \frac{57}{50} + \frac{1}{300}\\ \\= \frac{342}{300} +\frac{1}{300} =\frac{342+1}{300} =\frac{343}{300}$