Question

current objective
simplify a complex rational expression

question
divide: \frac{\frac{2}{x - 1} - \frac{7}{x - 4}}{\frac{6}{x - 1}}.

provide your answer below:

Explanation:

Find the LCD of the numerator

Using the Least Common Denominator knowledge point

$$ \text{LCD} = (x - 1)(x - 4) $$

Subtract the rational expressions in the numerator

Using the Subtracting Rational Expressions knowledge point

$$
LATEXBLOCK0
$$

Divide by the denominator expression

Using the Complex Rational Expressions knowledge point

$$
LATEXBLOCK1
$$

Answer:

Divide: <blank>\(\frac{-5x-1}{6(x-4)}\)</blank>