Final answer:
The calculation that best estimates 384 divided by three-sixteenths is '400 divided by one-fourth equals 1,600,' since dividing by a fraction is the same as multiplying by its reciprocal.
Step-by-step explanation:
The best method for estimating the result of 384 divided by three-sixteenths is to use simpler numbers that are close to the ones given. If we simplify the numbers, we can estimate 384 as 400 and three-sixteenths as one-fourth since 16 divided by 4 is 4, and 3 times 4 is 12, which is close to the value of 16. Therefore, the calculation that shows the best estimation method would be 400 divided by one-fourth equals 1,600, because when you divide by a fraction, you are essentially multiplying by its reciprocal. So, dividing by one-fourth is the same as multiplying by 4, thus 400 x 4 equals 1,600.