Question

1) Encontre a fração geratriz de cada dízima:

a) 0,444... h) 1,12333...

b) 0,1414... i) 0,0323232...

c) 2,77… j) 1,030303...

d) 1,715715… k) 1,303030...

e) 2,72333… l) 5,74444...

f) 9,222… m) 7,6666...

g) 10,2561111... n) 10,36999...

2) Represente na forma decimal:
a)12
5

) 3
125

b)57
100

e)231
80

c) 2
25

f)17
5

Answer 1

Resposta:

$1)0.444 = \frac{4}{9} \\ 0.1414 = \frac{14}{99} \\ 2.77 = \frac{25}{9} \\ 1.715715 = \frac{1714}{999} \\ 2.72333 = \frac{817}{300} \\ 9.222 = \frac{83}{9} \\ 10.256111 = \frac{18461}{1800} \\ 1.12333 = \frac{337}{300} \\ 0.0323232 = \frac{16}{495} \\ 1.030303 = \frac{34}{33} \\ 1.303030 = \frac{43}{33} \\ 5.7444 = \frac{517}{90} \\ 7.666 = \frac{23}{3} \\ 10.36999 = \frac{1037}{100}$

$2)\frac{12}{5} = 2.4 \\ \frac{3}{125} = 0.024 \\ \frac{57}{100} = 0.57 \\ \frac{231}{80} = 2.8875 \\ \frac{2}{25} = 0.08 \\ \frac{17}{5} = 3.4$

Espero ter ajudado!!