Reciprocal of a number is 1 divided by that number.
Example reciprocal of 2 is 1 ÷ 2 = 1/2
Reciprocal of 14/9 is 1 ÷ 14/9 = 1 × 9/14 = 9/14
Or as a short route you can simply invert the fraction, reciprocal of 14/9 becomes 9/14.
You can use that short route technique to find reciprocal of other fractions.