Fist we have to turn the mixed numeral 8 1/4 into an improper fraction. We do this by multiplying 4 by 8 which is 32.
Then we add the numerator, 1 which gives us 33. So now we have 33/4.
Then we find the reciprocal of 1/2.
To do this we simply flip the fraction
So 1/2 becomes 2/1
33/4 x 2/1 = 66/4
Since 66/4 is an improper fraction we have to change it into a mixed number.
We can do this dividing 66 by 4.
66 divided by four = 16 1/2
I hope this helps!