Answer :

To solve the fraction [tex]\(\frac{501}{0.5}\)[/tex], follow these steps:

1. Identify the numerator and the denominator:
- The numerator (the number above the division line) is 501.
- The denominator (the number below the division line) is 0.5.

2. Interpret the division by a fraction:
- Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of 0.5 is [tex]\(\frac{1}{0.5}\)[/tex].
- Therefore, [tex]\(\frac{1}{0.5} = 2\)[/tex].

3. Convert the division into multiplication:
- So [tex]\(\frac{501}{0.5}\)[/tex] can be rewritten as [tex]\(501 \times 2\)[/tex].

4. Perform the multiplication:
- Multiply 501 by 2 to get the final result.
- [tex]\(501 \times 2 = 1002\)[/tex].

Therefore, [tex]\(\frac{501}{0.5} = 1002\)[/tex].

The final result is:

[tex]\[ \boxed{1002} \][/tex]