are 3/3 and 6/6 equivalent fractions? if so, what is another equivalent fraction?

Yes, they are equivalent fractions! 

3 divided by 3= 1

6 divided by 6= 1

Any numerator equal to its denominator is 1.  

Some other equivalent fractions would be:

4/4, 5/5, 10/10, 12/12, 8/8,...

I hope this helps!
~kaikers