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