Is two fourteenth equivalent to three seventh and why?

Yes, two fourteenths (2/14) is equivalent to three sevenths (3/7). When you simplify 2/14, it reduces to 1/7 by dividing both the numerator and the denominator by 2. Since 3/7 is already in its simplest form, you can see that 1/7 is not equal to 3/7. Thus, two fourteenths is not equivalent to three sevenths.