Question

Which of the following is the quotient of the rational expressions shown below?

Answer 1

Find the attached picture.

Answer 2

The given fraction involves two Rational Expressions, one in numerator and one in denominator.

The rational expression in the denominator can be multiplied to the numerator after taking its reciprocal, this will help to simplify the expression as shown below:

$\frac{ \frac{5x}{2x+3} }{ \frac{x+1}{3x} } \\ \\ = \frac{5x}{2x+3} * \frac{3x}{x+1} \\ \\ = \frac{15 x^{2} }{(2x+3)(x+1)}$

There are no common factors in the numerator and the denominator so the expression cannot be simplified any further.