What is 2 thirds x 6 sevenths?

In order to do this problem, you need to multiply directly. So, 2 over 3 times 6 over 7. First, we're going to do the top. 2 times 6 is 12. The bottom is 3 times 7, which is 21. Your answer is 12 over 21, but they can be both reduced by 3, so your final answer is 4 over 7.