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Sagot :
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]
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]
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