Respuesta:
Explicación paso a paso:
Transforma a decimales finitos
a. [tex]0,64 = \frac{64}{100} = \frac{16}{25}[/tex]
b. [tex]0,6=\frac{6}{10}= \frac{3}{5}[/tex]
c. [tex]0,45 = \frac{45}{100} = \frac{9}{20}[/tex]
d. [tex]0,373 = \frac{373}{1000}[/tex]
e. [tex]1,34 = \frac{134}{100} = \frac{67}{50}[/tex]
Decimales infinitos periódicos (periódicos puros)
a. [tex]1,333... = \frac{13-1}{9} = \frac{12}{9} = \frac{4}{3}[/tex]
b. [tex]2,434343... = \frac{243-2}{99} = \frac{241}{99}[/tex]
c. [tex]0,222...=\frac{2}{9}[/tex]
d. [tex]4,123123123... = \frac{4123-4}{999} =\frac{4119}{999} =\frac{1373}{333}[/tex]
e. [tex]0,245245245... = \frac{245}{999}[/tex]
Decimales infinitos semi-periódicos (periódicos puros)
a. [tex]1,4333...= \frac{143-14}{90} = \frac{129}{90}= \frac{43}{30}[/tex]
b. [tex]0,2777... = \frac{27-2}{90} = \frac{25}{90}= \frac{5}{18}[/tex]
c. [tex]3,21333... = \frac{3213-321 }{900} = \frac{2892}{900} = \frac{241}{75}[/tex]
d. [tex]5,1555... = \frac{515-51}{90}= \frac{464}{90} =\frac{232}{45}[/tex]
e.
