Is 2/6 equivalent to 4/12

Yes it is.

If you multiply the numerator (the top of the fraction) and the denominator (the bottom of the fraction) of 2/6 each by 3 you get 4/12.

And you can multiply the numerator and denominator each by any number and it will still be equivalent to that original fraction.

2/6 = 4/12

Solution

1) Multiply

2 x 2 = 4

6 x 2 = 12

2) Simplify

4/12

2/6 x 2 = 4/12

4/12 is equivalent to 2/6