To find the numerator of the given rational expression [tex]\(\frac{e}{f}+\frac{9}{f}\)[/tex], let's follow these steps:
1. Identify the common denominator: Since both terms in the expression have the same denominator [tex]\(f\)[/tex], we can combine the fractions easily by using this common denominator.
2. Combine the numerators: When adding fractions with the same denominator, we add the numerators together. This gives us:
[tex]\[
\frac{e}{f} + \frac{9}{f} = \frac{e + 9}{f}
\][/tex]
3. Simplify the expression: The denominator [tex]\(f\)[/tex] remains the same, and the numerator is the sum of the numerators of the individual fractions.
So, the combined expression is:
[tex]\[
\frac{e + 9}{f}
\][/tex]
4. Identify the numerator: The numerator of the combined expression [tex]\(\frac{e + 9}{f}\)[/tex] is [tex]\(e + 9\)[/tex].
Hence, the numerator of the rational expression [tex]\(\frac{e}{f} + \frac{9}{f}\)[/tex] is [tex]\(e + 9\)[/tex].
