Rational numbers question

is 0.3535... a rational number? thanks

Yes, any repeating decimal is a rational number.
Let's convert 0.353535... to a fraction:
Let x = 0.353535...
Multiply by 100
100x = 35.353535...
Thus 99x = 35
x = 35/99, which is rational.

0.3535 =
3535/10000 = 707/2000
Yes it is rational - it can be expressed as a ratio