IS 0.18181818.... RATIONAL OR IRRATIONAL?
All rational numbers can be expressed as a fraction.
To determine whether the recurring decimal 0.18181818... is a rational number,
let x = 0.18181818...
Multiply both sides by 100
=>100x = 18.18181818...
Subtract x from 100x, and the recurring parts will cancel.
100x - x = 18.18181818...- 0.18181818
99x = 18
x = 18/99
=>0.18181818... = 18/99
Therefore, 0.18181818.... is a rational number.
