Question

Escreva uma fracao equivalente a cada um dos numeros

A 4,7222...

B 3,121212

C 0,5272727...

D 1,8999

Answer 1

Boa tarde!

a)
$4,7222\ldots=4,7\overline{2}=4\frac{72-7}{90}=4\frac{65}{90}=4\frac{13}{18}=\frac{85}{18}$

b)
$3,121212\ldots=3,\overline{12}=3\frac{12}{99}=3\frac{4}{33}=\frac{103}{33}$

c)
$0,5272727\ldots=0,5\overline{27}=\frac{527-5}{990}=\frac{522}{990}=\frac{58}{110}=\frac{29}{55}$

d)
$1,8999\ldots=1,8\overline{9}=1\frac{89-8}{90}=1\frac{81}{90}=1\frac{9}{10}=\frac{19}{10}$

Espero ter ajudado!

Answer 2

a) 4,7222... = 4 (72 - 7)/90 = 425/90 = 85/18

b) 3,121212.... 3 (12)/99 = 309/99 = 103/33

c) 0,5272727... = (527 - 5)/990 = 522/990 = 261/495 = 87/165

d) 1,8999... = 1 (89 - 8)/90 = 1 (81/90) =   171/90 = 57/30

Espero ter ajudado.