Hello!
To solve this, first isolate the problematic part, or .1313....
First, set .13333... equal to x. Then, find 10x. 10x = 1.333333.... Finally, find 100x. 100x = 13.33333...
Now, subtract 10x from 100 x.
100x - 10x = 13.33333... - 1.33333...
90x = 12
Now, divide both sides by 90.
x = 12/90
x = 2/15
Adding in the 1 again, you get 2/15 + 15/15, or 17/15.
Hope this helped!