# 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: (5x-12) / x(x-1)

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 calculates as:

{1/(x-3)+4/x} /{(x - 1) / (x - 3)} = {x+4(x-3) / x(x-3)} / {(x-1)/(x-3)}

= {(x+4x-12) / x(x-3)} / {(x-1)/(x-3)}

= {(5x-12) / x(x-3)} / {(x-1)/(x-3)}

= (5x-12)(x-3) / x(x-3)(x-1)

= (5x-12) / x(x-1)