Hi everyone, first post (woohoo)!

Anyways, on to the math.

I am reading a book on propositional logic and proof building to help me in my writing of proofs.

I ran into this problem and the author uses what he calls "the arithmetic rule for the sum of two quotients" and he is using it to rearrange a problem. I googled it, but I could not find anything!

Here is the problem:

.1n+.1=a/b+.1 and using this rule, he rearranged it to: a/b+1/10=(10a+b)/10b

Please explain how he got this, I would be most grateful!

PS: There is one more problem somewhere in the book that he used it..if this above is not substantial please tell me!