To determine the numerator for the rational expression
[tex]\[
\frac{9}{h} + \frac{9}{h}
\][/tex]
we start by understanding that both fractions have the same denominator, [tex]\( h \)[/tex]. When adding fractions with the same denominator, we simply add their numerators. Here's the detailed step-by-step process:
1. Identify the numerators and the common denominator:
The fractions we are adding are [tex]\(\frac{9}{h}\)[/tex] and [tex]\(\frac{9}{h}\)[/tex], both with the numerator [tex]\(9\)[/tex].
2. Add the numerators:
[tex]\[
9 + 9 = 18
\][/tex]
3. Combine the fractions:
When we add the numerators, the result is placed over the common denominator. Therefore, combining the fractions, we get:
[tex]\[
\frac{9}{h} + \frac{9}{h} = \frac{18}{h}
\][/tex]
Thus, the numerator of the rational expression is:
[tex]\[
18
\][/tex]
