Question

a soma das dizimas periodicas 2,333.......0,1777

Answer 1

2,3333....
x=2,333...
10x=23,333...
10x-x=23,333...-2,333...
9x=21
x=21/9
x=7/3

y=0,17777...
10y=1,777...
100y=17,777...
100y-10y=17,777...-1,777...
90y=16
y=16/90
y=8/45


2,333...-1,7777...=
7/3-8/45=
15.7/45-8/45=
105/45-8/45=
97/45