We can simplify the quotient of fractions $\frac{\frac{4a}{3x}}{\frac{3a}{4x}}$ by inverting the second fraction and multiply both fractions
$\frac{4\cdot 4ax}{3\cdot 3xa}$
Intermediate steps
2
Simplify the fraction
$\frac{4\cdot 4}{3\cdot 3}$
Final answer to the problem
$\frac{4\cdot 4}{3\cdot 3}$
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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.