Question 120076
A rational number is a number that can be expressed as a fraction a/b where a and b are both integers (b not equal to 0, too).
{{{64^2=4096}}} is rational because 
{{{4096=40960/10}}}
{{{1.2222222=11/9}}} so it is also rational.
Irrational numbers are numbers like
{{{sqrt(2)}}}=1.41421356237...
and {{{pi}}}=3.141592654...
where there is no repeatable pattern. 
With a repeatable pattern, then you can find the integers that make up a rational number. 
{{{0.333333333333 = 1/3}}}
{{{0.142857142857 = 1/7}}}
{{{0.11111111111 = 1/9}}}
{{{0.09099090909 = 1/11}}}
{{{0.0769230769230 = 1/13}}}
and on and on. 
Hope it helps.