Simplify the complex fraction.
\[
\frac{\frac{x-3}{x^{2}-16}}{1+\frac{1}{x-4}}
\]

Answer

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Answer

Finally, we get the simplified form of the complex fraction as \(\boxed{\frac{1}{x+4}}\)

Steps

Step 1 ：Given the complex fraction \(\frac{\frac{x-3}{x^{2}-16}}{1+\frac{1}{x-4}}\)

Step 2 ：First, simplify the denominator. The denominator is a sum of 1 and a fraction. To simplify this, we can find a common denominator and add the fractions. The common denominator is x-4.

Step 3 ：After simplifying the denominator, we will have a fraction divided by another fraction. To simplify this, we can multiply the numerator by the reciprocal of the denominator.

Step 4 ：Finally, we get the simplified form of the complex fraction as \(\boxed{\frac{1}{x+4}}\)

Simplify the complex fraction.\[\frac{\frac{x-3}{x^{2}-16}}{1+\frac{1}{x-4}}\]

Answer

Popular Problems

Simplify the complex fraction.
\[
\frac{\frac{x-3}{x^{2}-16}}{1+\frac{1}{x-4}}
\]