Question

divide: \frac{\frac{x + 3}{x}}{\frac{x - 6}{x}}

Explanation:

Identify the division problem

Using the Dividing Rational Expressions knowledge point

$$ \frac{\frac{x+3}{x}}{\frac{x-6}{x}} = \frac{x+3}{x} \div \frac{x-6}{x} $$

Multiply by the reciprocal

Using the Dividing Rational Expressions knowledge point

$$ \frac{x+3}{x} \div \frac{x-6}{x} = \frac{x+3}{x} \cdot \frac{x}{x-6} $$

Simplify the expression

Using the Simplifying Rational Expressions knowledge point

$$
LATEXBLOCK0
$$

Answer:

Divide: \(\frac{\frac{x+3}{x}}{\frac{x-6}{x}}\).

Provide your answer below:
<blank>\(\frac{x+3}{x-6}\)</blank>