Question 167883
Yes, you're technique is fine --however you made an arithmetic error:
{{{((8r + 16)/ (24r - 24)) ((6r - 6)/( 3r + 6))}}}
{{{( 8(r + 2)/ (24r - 24)) ((6r - 6)/3( r + 2))}}}
{{{( 8/ (24r - 24)) ((6r - 6)/3)}}}
{{{( 8/(24(r - 1))) ((6(r - 1))/3))}}}
{{{(8/24)(6/3)}}}
{{{(1/3)(2/1)}}}
{{{2/3 }}}