Explanation:
this is very difficult to read.
if I understand correctly, then a train ticket costs first an initial fee of $5, and then $2.75 per stop.
Julia has $21.
to find the max. number of stops she can buy, we need first to deduct the $5 initial fee. she would need to pay that no matter how many stops she wants to have.
so, she has 21-5 = $16 available for stops.
as 1 so costs $2.75, we need to find out how often 2.75 fits into 16.
that is what division is for.
by calculating 16/2.75 we find out exactly how often 2.75 fits into 16.
now, with a calculator this is easy.
but let's say, we need to do this by hand.
then we should consider 2.75 as a fraction.
it is, in fact, 2 3/4 or 8/4 + 3/4 = 11/4.
remember, dividing by a fraction is the same as multiplying by the upside-down fraction.
so, 16/ 11/4 = 16 × 4/11.
to understand it even better we can write 16 as fraction too : 16/1.
that means we have
16/1 × 4/11 = (16×4) / (11×1) = 64/11 = 5 9/11 = 5.818181...
so, she can buy max. 5 stops. for the 6th stop she does not have the full money anymore.