To find out how many batches of cookies the baker can make, we need to divide the total number of sticks of butter (12) by the amount of butter needed for each batch (1/3 of a stick).
To divide a whole number by a fraction, we can convert the whole number to a fraction by placing it over 1. In this case, 12 can be written as 12/1.
Next, we multiply the first fraction (12/1) by the reciprocal of the second fraction (3/1). The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the calculation becomes (12/1) * (1/3). Multiplying the numerators (12 * 1) gives us 12, and multiplying the denominators (1 * 3) gives us 3.
Therefore, the baker can make 12/3 or 4 batches of cookies using the 12 sticks of butter.
In conclusion, the baker can make 4 batches of cookies with the 12 sticks of butter.