Question

passe as dizimas periodicas para a forma de fração irredutível

a)0,444...
__
b)0,36
__
c)0,121

d)0,0444...

Answer 1

a)0,444...=x
10x=4,444=>10x=4+0,444...
10x=4+x
10x+x=4
9x=4=>x=4/9

b)0,36=36/100=9/25

c)0,121=121/1000

d)0,0444...=x
100x=4,444...
100x=4+0,444...
0,444...=4/9
100x=4+4/9
100x=40/9
x=40/900=4/90=2/45