Which fraction is larger 10/13 or 11/14

10/13 would be the larger number and here is why

10/13

10/13 x 3780/3780

37800/49140

so your answer is 10/13

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

Iwould say they are complementary because that’s the division of a 90 degree angle and it’s split between the middle of them