Answer: 6/5
Step-by-step explanation:
When finding the reciprocal, we essentially just "flip" or take the inverse of the number we are given. For example, the reciprocal of 1/2 would be 2/1 or 2. The given number multiplied by the reciprocal should always equal 1. If it does, then we know we are correct.
In this case, we are finding the reciprocal of 5/6, so we "flip" the numerator and the denominator to get 6/5.
To check our work, we need to multiply our original number and its reciprocal.
5/6 x 6/5 = 30/30 = 1
Now, we know we are correct, that the reciprocal of 5/6 is 6/5.