To express the value of the fraction [tex]\(\frac{5}{a}\)[/tex] in its simplest form, follow these steps:
1. Identification of Variables and Constants:
- In the fraction [tex]\(\frac{5}{a}\)[/tex], the numerator is [tex]\(5\)[/tex], which is a constant.
- The denominator is [tex]\(a\)[/tex], which is a variable.
2. Form of the Fraction:
- Since [tex]\(5\)[/tex] is a constant and [tex]\(a\)[/tex] is a variable, the fraction [tex]\(\frac{5}{a}\)[/tex] cannot be simplified further unless the value of [tex]\(a\)[/tex] is known.
3. Expression of the Fraction:
- The fraction [tex]\(\frac{5}{a}\)[/tex] is already in its simplest form as it stands because there are no common factors between [tex]\(5\)[/tex] and [tex]\(a\)[/tex] that can be canceled out.
Therefore, the fraction [tex]\(\frac{5}{a}\)[/tex] remains [tex]\(\frac{5}{a}\)[/tex] in its simplest form. This is the final result and it represents the value of the fraction accurately.
