Simplify the following rational expression by adding, then identify the simplified expression below.n+54𝑛+54 + n−53n−24

Question

Simplify the following rational expression by adding, then identify the simplified expression below.

$\frac{n + 54}{n + 54} + \frac{n - 5}{3n - 24}$

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Solution

To simplify the expression, we first need to find a common denominator for the two fractions. The common denominator of n+54 and n-24 is (n+54)(n-24).

Next, we rewrite each fraction with the common denominator:

(n+54)/(n+54)(n-24) + (n-53)/(n+54)(n-24)

Now, we can add the two fractions together:

[(n+54) + (n-53)] / (n+54)(n-24)

Simplify the numerator:

(2n + 1) / (n+54)(n-24)

So, the simplified expression is (2n + 1) / (n+54)(n-24).

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Simplify the following rational expression by adding, then identify the simplified expression below.n+54𝑛+54 + n−53n−24

Question