Answer :

To find the whole-number value of the fraction [tex]\(\frac{65}{5}\)[/tex], follow these steps:

1. Understand the Fraction:
The fraction [tex]\(\frac{65}{5}\)[/tex] represents a division problem where 65 is the numerator and 5 is the denominator. We need to determine how many times 5 can be subtracted from 65 until nothing is left.

2. Perform the Division:
Divide 65 by 5. Essentially, you are looking for the quotient when 65 is divided by 5.

3. Calculating the Quotient:
- When you divide 65 by 5, you get 13. Because 65 divided by 5 equals 13 exactly, there is no remainder.

4. Result:
The quotient or the whole-number value of the fraction [tex]\(\frac{65}{5}\)[/tex] is 13.

Thus, the whole-number value of the fraction [tex]\(\frac{65}{5}\)[/tex] is [tex]\(13\)[/tex].