Problem:
If a, b, and c are three different positive integers each less than 15, then what is the greatest possible value for the expression ab/c? Explain in detail.

Solution:
To find the greatest possible value for the expression ab/c, we need to consider the given conditions: a, b, and c are three different positive integers each less than 15. Let's break down the problem step by step.

Step 1: Identify the maximum values for a, b, and c:
Since a, b, and c are positive integers less than 15, the maximum values for each variable are:
- a = 14
- b = 13
- c = 12

Step 2: Calculate the expression ab/c:
Now, we can substitute the maximum values of a, b, and c into the expression ab/c to find the greatest possible value:
ab/c = 14 * 13 / 12
= 182 / 12
= 15.1666667

Step 3: Determine the greatest possible value:
Since a, b, and c are integers, we need to round down the result to the nearest whole number. Therefore, the greatest possible value for the expression ab/c is 15.

Summary:
In summary, the greatest possible value for the expression ab/c, where a, b, and c are three different positive integers each less than 15, is 15. This value is obtained by considering the maximum values for a, b, and c, substituting them into the expression, and rounding down the result to the nearest whole number.

14*15/1 = 210 this is the greatest possible value ..