Certainly! Let's solve the given rational expression step-by-step.
We are given the expression:
[tex]\[
\frac{7}{v} + \frac{3}{v}
\][/tex]
Here, both fractions have the same denominator, [tex]\(v\)[/tex].
To add two fractions with a common denominator, we sum their numerators while keeping the denominator unchanged. So, we can combine the fractions by adding the numerators:
[tex]\[
\frac{7 + 3}{v}
\][/tex]
Now, we perform the addition in the numerator:
[tex]\[
7 + 3 = 10
\][/tex]
Thus, the combined fraction is:
[tex]\[
\frac{10}{v}
\][/tex]
So, the numerator of the resulting rational expression is:
[tex]\[
10
\][/tex]
