Question

Escreva a fração geratriz de cada dízima
a)o,4444...
b)0,1414...
c)2,777...
d)1,71515...
e)1,12333...
f)0,02323...
g)1,0303...
h)1,03030...

Answer 1

a)0,4444...

:>: 4/9

b)0,1414...

:>: 14/99

c)2,777...
x = 2 + 7/9
9x = 18 + 7
x = 25/9

d)1,71515...
10x = 17 + 15/99
990x = 1683 + 15
x = 1689/990

e)1,12333...
100x = 112 + 3/9
900x = 1008 + 3
x = 1011/900

f)0,02323...
100x = 2 + 3/9
900x = 18 + 3
x = 21/900

g)1,0303...
x = 1 + 3/99
99x = 99 + 3
x = 102/99

h)1,03030...
10x = 10 + 30/99
990x = 990 + 30
x = 1020/990