A student claims that 2/3 = 6/7 because if you add 4 to both the top and the bottom of a fraction, the fraction does not change. How do you respond?

Question

I am a bit confused. Don't you need to have a common denominator?

Answer 1

http://www.mathsisfun.com/equivalent_fractions.html

Note that you need to use division or multiplication, not addition, to form or identify equivalent fractions.

Answer 2

The link you posted made it clear! Thank you Thank you!

Answer 3

You're very welcome!