To find the numerator of the given rational expression [tex]\(\frac{g}{h} + \frac{4}{h}\)[/tex], we need to add the numerators while maintaining the common denominator.
Given the expression:
[tex]\[ \frac{g}{h} + \frac{4}{h} \][/tex]
1. Identify the common denominator:
Both fractions have the same denominator, [tex]\(h\)[/tex].
2. Combine the numerators:
Since the denominators are the same, we can directly add the numerators together:
[tex]\[ g + 4 \][/tex]
3. Write the combined fraction:
The combined fraction becomes:
[tex]\[ \frac{g + 4}{h} \][/tex]
Thus, the numerator of the expression [tex]\(\frac{g}{h} + \frac{4}{h}\)[/tex] is:
[tex]\[ g + 4 \][/tex]