Per 200cp you can get about 21-23 stars (x10 spin, you can get more though) and you need 33 stars per frag so...

33*10= 310 stars

310/21~= 15~ spins x10

and 14~15 spins (x10) means that you need like 2800~3000 coupons

*these are the numbers in the worst case, but you probably will get her for less*