Question

escreva a fraçao geratriz das seguintes dizimas periodicas

a) 2,333...

b) 0,444...

c) 1,23111...

d) 4,412412412...

e) 0,43123112312...

f) 1,7444...

Answer 1

a) 2,333...
x = 2 + 3 / 9
9x = 18 + 3
x = 21/9






b) 0,444...

:>: 4 / 9





c) 1,23111...
100x = 123 + 1/9
900x = 1107 + 1
x = 1108 / 900





d) 4,412412412...
x = 4 + 412/999
999x = 3996 + 412
x = 4408 / 999






e) 0,4312312312...
10x = 4 + 312/999
9990x = 3996 + 312
x = 4308 / 9990






f) 1,7444...
10x = 17 + 4/9
90x = 153 + 4
x = 157 / 90