Question

Express 3.466666.... as a rational number.

Answer 1

Let x=3.466666.... (1)
10x=34.666666... (2)
100x=346.66666... (3)
(3)-(2)➡ 90x=312
x=312/90=52/15

Answer 2

Let x = 3.4666666....
100x = 346.666666.....--------(2)
10x = 34.666666.....--------(1)
Subtracting 1 from 2
100x - 10x = 346.666666.... - 34.666666
90x = 312
x = 312/90
= 156/30
= 52/15