Question

ENCONTRE A FRAÇÃO GERATRIZ DE

A) 0,6161
B) 5,65
C) 0,215215
D) 1,88
E) 3,010101

Answer 1

a) x = 0,6161...
100x = 61,61...
100x = 61 + x
99x = 61
x = 61/99

b) x = 5,6565...
x = 5 + 65/99
x = 560/99

c) x = 0,215215...
1000x = 215,215...
1000x = 215 + x
999x = 215
x = 215/999

d) x = 1,88...
x = 1 +8/9
x = 17/9

e) x = 3,010101...
x = 3 + 1/90
x = 271/90