Question

Use the digits 4,5,6,7,and 8 to make the greatest quotient with no remainder

Answer 1

[AI-generated answer — Bot GPT 3.5]

To make the greatest quotient with no remainder, we want the numerator to be as large as possible and the denominator to be as small as possible.

First, let's arrange the digits in descending order: 8, 7, 6, 5, 4.

Now, let's consider the numerator. Since we want it to be as large as possible, let's use the largest digit first, which is 8. Now we have 8 as the first digit in the numerator.

Next, let's consider the denominator. Since we want it to be as small as possible, let's use the smallest digit first, which is 4. Now we have 4 as the first digit in the denominator.

The quotient so far is 8/4.

For the remaining digits 7, 6, and 5, we can arrange them in any order since they will not have much impact on the quotient as they are smaller than the already chosen digits.

Let's choose 7 as the next digit in the numerator, 6 as the next digit in the denominator, and 5 as the last digit in the numerator.

The final arrangement is:

Numerator: 875
Denominator: 465

So, the greatest quotient with no remainder using the digits 4, 5, 6, 7, and 8 is:

875/465 = 1.8817 (rounded to four decimal places)