Abc airlines has had delays on 18 of 126 recent flights. def airlines has had delays 13 percent of the time. which airlines would you expect to provide more reliable service? why?

To figure out which airline provides more reliable service, we need to figure out what ABC Airlines's delays are in percents.

To get that, we need to reduce 18/126 by 2.

When we reduce both the numerator and the denominator we get 9/63.

Now, we cannot reduce that again, without getting a decimal for the numerator/denominator.

So, now that we know that the fraction is 9/63, we divide it, and we get :
 0.142857

Changing that into a percent, we get 14%.

14% is the percent that ABC Airlines has delays. 
DEF Airlines has delays of 13% in recent flights.

So, from that, we can conclude that DEF gives more reliable service.