I have a sum of fractions of the form $x1 - \frac{(x2 + x3)}{(x4 + x5)} - \frac{(x6 + \frac{x7}{x13})}{(x8 - x9 - \frac{x10}{(x11 + x12)})}.$
How might I simplify it to remove fractions from the denominator and then multiply the functions to get a single fraction (like Together would do) without simplifying the expression?
I would like something like this: $\frac{(x1[x4 + x5][x13 (x8 - x9) (x11 + x12) - x10 (x13)] - [x2 + x3][ x13 (x8 - x9) (x11 + x12) - x10 (x13)] - [x6 (x13) + x7][ x4 + x5])}{[x4 + x5][x13 (x8 - x9) (x11 + x12) - x10 (x13)]}$.
I was going to iterate over the terms with List and Denominator a number of times, find the denominators and multiply all the terms, but that quickly became unwieldy and I was unable to compactly multiply them.
Any suggestions or examples would be greatly appreciated!