Divide an Odd Whole Number Mixed Fraction by Two

What happens here

The next scenario addresses finding half of a mixed number with an odd whole number, using '19 3/8' as an example. To simplify, the whole number '19' is first 'bumped down' to '18'. This '18' is then divided by '2', yielding '9'. To handle the remaining part from the odd whole number, the original numerator '3' and the original denominator '8' are added together, resulting in a new numerator '11'. The original denominator '8' is again multiplied by '2' to get a new denominator '16'. Combining these steps, half of '19 3/8' is '9 11/16'. The process of bumping down the whole number by one and incorporating that value into the fraction by adding the numerator and denominator is key here.

Goal: Find half of a mixed number where the whole number is odd.