3 ways to think of this
first find lcd=13×14=182
10/13=140/182
11/14=143/182
so 11/14 is larger
second just divide
10/13=0.769
11/14=0.786
so 11/14 is larger
third just know
10/13
11/14=(10+1)/(13+1)
just like 2/3 is larger than 1/2, 11/14 is larger than 10/13