b$.$ When this split occurs, all else held constant, what happens to the numerator of Equation $3\mathrm{.}1?($Select the best answer below.$)$

A$.$ The numerator of the equation goes down because the price of the stock that is splitting falls doubles.

B$.$ The numerator of the equation goes up because the price of the stock that is splitting falls by half.

C$.$ The numerator of the equation goes up because the price of the stock the splitting doubles.

D$.$ The numerator of the equation goes down because the price of the stock that is splitting falls by half.