Question 585835
 {{{((x+1)/6)}}}  ÷  {{{((x+1)/3)}}} 

Rule: Whenever we have two fractions divided, then we use "KSS" = Keep Switch Switch. 
Let me explain this to you a little. We 'keep' the first fraction, switch the operator from division to multiplication and again we switch the second fraction.

= {{{ ((x+1)/6)  * (3/(x+1)) }}}
= {{{ (1/6) * (3/1) }}} { Cancelling out x+1 from both the fractions } 
= {{{ 3/6 }}}
= {{{ 1/2 }}}

Hope this helps~!