Question 597300
{{{ m/(1 + x/(p+ n/2)) }}}


{{{ m/(1 + x/((2p)/2+ n/2))) }}}


{{{ m/(1 + x/((2p+n)/2)) }}}


{{{ m/(1 + x(2/(2p+n))) }}}


{{{ m/(1 + (2x)/(2p+n)) }}}


{{{ m/ ((2p+n)/(2p+n) + (2x)/(2p+n)) }}}


{{{ m/ ((2p+n+2x)/(2p+n)) }}}


{{{ m((2p+n)/(2p+n+2x)) }}}


{{{ (m(2p+n))/(2p+n+2x) }}}


{{{ (2mp+mn)/(2p+n+2x) }}}


So {{{ m/(1 + x/(p+ n/2)) }}} simplifies to {{{ (2mp+mn)/(2p+n+2x) }}}


In other words, {{{ m/(1 + x/(p+ n/2)) = (2mp+mn)/(2p+n+2x) }}} for all allowed domain values of m, x, p and n.