Let’s simplify 1 1/2 cups of baking soda to 3/2. And you have 1/2 cups of conditioner.
If you need 1/2 cups of baking soda you need to figure out how many times 1/2 fits into 3/2. 3 times.
So you need a third of the conditioner.
1/3 x 1/2=1/6
1/6 cups of conditioner