Question 290299
First note that {{{6&5/9=(6*9+5)/9=59/9}}} and {{{1&2/3=(1*3+2)/3=5/3}}}



So "6 5/9 divided by 1 2/3" can be restated to "59/9 divided by 5/3" which can be written as {{{(59/9)/(5/3)}}}. Multiply the first fraction by the reciprocal of the second to then get {{{(59/9)(3/5)=(59*3)/(9*5)=177/45=59/15}}} (note: don't forget to reduce)