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# Simplify 1 over quantity x minus 3 plus 4 over x all over 4 over x minus 1 over quantity x minus 3 ((1/(x-3)+4/x)/(x-1)/(x-3))

All fractions consist of a numerator and a denominator.

- The denominator indicates how many parts the whole has been divided into. It is placed in the lower part of the fraction.
- The numerator indicates how many sections of the fraction are represented. It is placed in the upper part of the whole.

## Answer: On simplifying 1 over quantity x minus 3 plus 4 over x all over 4 over x minus 1 over quantity x minus 3 ((1/(x-3)+4/x)/(x-1)/(x-3))(5x-12) / x(x-1), we get (5x-12) / (3x-12)

If the two fractions are divided then the denominator of the fraction that is in the denominator is multiplied with the numerator of the fraction that is present at the numerator.

**Explanation:**

The simplified form of the division of the two fractions is calculated as:

\(\dfrac{\dfrac{1}{x-3}+\dfrac{4}{x}}{\dfrac{4}{x}-\dfrac{1}{x-3}}\\\\\\= \dfrac{\dfrac{x+4x-12}{x^2-3x}}{\dfrac{4x-12-x}{x^2-3x}}\\\\\\=\dfrac{5x-12}{3x-12}\)

### Therefore, the simplified form is (5x-12) / (3x-12)

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