Calculate and you will find that:
first fraction = 1/2
first fraction+second fraction = 2/3
1 and 2 are the numbers used to make the first's fraction's denominator. This goes for 2 and 3. So, first fraction+second fraction+third fraction will come to 3/4. If you work on you will see that the answers are:
1/2
2/3
3/4
4/5
5/6
6/7
7/8
8/9
9/10 etc.
The answer is 89/90.