To solve these type of problem you have to make the denominator the same or use the claculator.
let us do this problem by making the denominator the same.
\(\frac{10}{13} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{11}{14} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{14}{15} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{17}{18} \\\\ \frac{10}{13}\times \frac{3780}{3780} \ \ \ \ \ \ \ \ \ \frac{11}{14} \times \frac{3510}{3510} \ \ \ \ \ \ \ \ \ \frac{14}{15} \times \frac{3276}{3276} \ \ \ \ \ \ \ \ \ \frac{17}{18} \times \frac{2730}{2730}\)
\(\frac{37800}{49140} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{38610}{49140} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{45864}{49140} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{46410}{49140}\)
So, now. the one with the largest numerator is the largest fraction
In this case, \(\frac{46410}{49140}\) is the largest which is equal to \(\frac{17}{18}\).
So, the largest fraction is \(\frac{17}{18}\).
