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)