Hey y'all this is my first post here and for forewarning I am horrible at math. Anyway here's the problem I'm having trouble with:

5 1/6 + x = 7 1/1

The book says the answer is 1 5/6 and I can tell that's right the problem I'm having is figuring out where the extra whole number disappeared to. Here's how I worked it out:

5 1/6 - 5 1/6 + x = 7 1/1 - 5 1/6

x = 7 1/1 - 5 1/6

7 1/1 * 6/6 - 5 1/6 * 1/1

7 6/6 - 5 1/6

x = 7 6/6 - 5 1/6 = 2 5/6

So my question is how did the book get rid of the extra 1 in the solution? Also if I've done anything else horribly bad please let me know.

Thanks!

-El Cid