Question

Determine as frações que geram as dizimas abaixo:
a)6,22222...
b)0,33333...
c)6,01010101...
d)7,2414141...
e)1,712712712...

Answer 1

a) 6,22222
x=6,22222.(10)
10x=62,22222
-  x=   6,22222
 9x= 52
   x= 52/9

b) 0,33333
x=0,33333.(100)
100x=33,33333
-    x=   0,33333
 99x=33
    x= 33/99

c) 6,01010101
x=6,01010101.(100)
100x=601,01010101
-    x=     6,01010101
 99x=595
     x=595/99

d) 7,2414141
x=7,2414141.(10)
10x=72,2414141.(100)
1000x=7241,2414141
- 10x=      72,2414141
 990x=7169
       x=7169/990

e) 1,712712712
x=1,712712712.(10)
10x=17,712712712.(100)
1000x=1712,712712712
-   10x=    17,712712712
  990x=1695
        x=1695/990