The answer is: " 3 " .
______________________________________________
Explanation:
_______________________________________________
2 1/7 ÷ 5/7 ;
= 2 1/7 * 7/5 ;
Note: " 2 1/7 = [ (7*2) + 1 ] / 7 = (14 + 1) / 7 = 15/7 " ;
_______________________________________________
(15/7) * (7/5) = ?
Both "7's" cancel out to "1" ; since " 7 / 7 = 1 " ;
The "15" changes to a "3" ; and the "5" changes to a "1" ;
→ since: " 15 / 5 = 3 " ; and since: " 5 / 5 = 1 " .
__________________________________________
and we have:
(3/1) * (1/1) = 3 * 1 = 3 .
_________________________________________
The answer is: "3 " .
_________________________________________
