6.3333... belongs to rational numbers.
Any number which can be represented in the form of p/q where [tex]q\neq 0[/tex] is known as rational number.
Any repeating number is rational.
Proof:
Let x= 6.3333.......... -(i)
Multiply both sides by 10
10 x= 63.3333........... -(ii)
Subtracting equation i from equation ii
9x= 57
x= 57/9 which is in p/q form.
