Answer:
2/3 or 3/2
Explanation:
If the number is x, and its reciprocal is 1/x, then:
x + 1/x = 2⅙
Convert mixed number to improper fraction:
x + 1/x = 13/6
Multiply both sides by 6x:
6x² + 6 = 13x
6x² − 13x + 6 = 0
Factor using AC method. 6×6=36. Factors of 36 that add up to -13 are -4 and -9. -4/6 and -9/6 reduce to -2/3 and -3/2.
(3x − 2) (2x − 3) = 0
Solve for x:
x = 2/3 or 3/2
Alternatively, you can use quadratic formula to solve for x.