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Exercise

$\frac{\left(\frac{3x}{3x-2}\right)}{\left(\frac{3x-2}{2x+3}\right)}$

Step-by-step Solution

1

We can simplify the quotient of fractions $\frac{\frac{3x}{3x-2}}{\frac{3x-2}{2x+3}}$ by inverting the second fraction and multiply both fractions

$\frac{3x\left(2x+3\right)}{\left(3x-2\right)\cdot \left(3x-2\right)}$

Final answer to the exercise

$\frac{3x\left(2x+3\right)}{\left(3x-2\right)\cdot \left(3x-2\right)}$

Try other ways to solve this exercise

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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