Question 983150
After the first cut, the small part is {{{4/9}}} and the big part is {{{5/9}}}.


Second cut:
The two pieces made from the big part are {{{(5/9)(7/15)}}} and {{{(5/9)(8/15)}}}.


Attention is now on the fractions  {{{4/9}}};
{{{(5/9)(7/15)}}};
and
{{{(5/9)(8/15)}}}.


Bring the {{{4/9}}} to terms of  {{{1/(9*15)}}}.
{{{(4/9)(15/15)=highlight_green(60/(9*15))}}}.


Now you are ready to compare.
Which is the largest among  {{{system(highlight_green(60/(9*15)),35/(9*15),40/(9*15))}}}?


The largest is the {{{highlight(4/9)}}} part which came from the first cutting, which was not cut further.