Answered

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What is the numerator for the following rational expression?

[tex]\[
\frac{7}{v} + \frac{3}{v} = \frac{?}{v}
\][/tex]

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]