Answer: 1 and -1
Explanation:
The two rational numbers that are their own reciprocals are:
+1 (positive one)
Explanation: The reciprocal of +1 is 1/+1, which is also +1.
-1 (negative one)
Explanation: The reciprocal of -1 is 1/-1, which is also -1.
These are the only two rational numbers that remain the same when you take their reciprocal. For any other rational number (let's call it "a"), its reciprocal is 1/a, which is not equal to "a" unless "a" is either +1 or -1.