The first thing I'd note is that, based on your description, you've made a typo in the problem. What you wrote evaluates out to:

\(\displaystyle m=p-\dfrac{241}{p}\)

Which I'm guessing is not what you meant. For it to be what you intended it to be, you need grouping symbols, like so: m =

**(**p-241

**)**/p. Be sure you understand why that is.

With that out of the way, we can begin solving the problem. What you've done so far is a valid step, so let's try continuing from there. What if you subtracted

*p* from both sides, leaving: mp - p = -241? Then you can

**factor out a common term on the left-hand side**http://www.purplemath.com/modules/simpfact.htm. After that, the final step to get to the solution should be obvious.