Question 575998
{{{ 1/a+1/b=c }}}
Multiply both sides by {{{ a*b }}}
{{{ b + a = a*b*c }}}
Subtract {{{ a }}} from both sides
{{{ b = a*b*c - a }}}
factor out {{{ a }}} from the right side
{{{ b = a*( b*c - 1 ) }}}
Divide both sides by {{{ b*c - 1 }}}
{{{ a = b / ( b*c - 1 ) }}}