Question

\\\frac{3x^2}{4} \div \frac{6x}{16}\\

Explanation:

Convert division to multiplication by the reciprocal

$$ \frac{3x^2}{4} \div \frac{6x}{16} = \frac{3x^2}{4} \times \frac{16}{6x} $$

Multiply numerators and denominators

$$ \frac{3x^2 \times 16}{4 \times 6x} = \frac{48x^2}{24x} $$

Simplify the resulting rational expression

$$ \frac{48}{24} \times \frac{x^2}{x} = 2x \quad (x eq 0) $$

Answer:

\(2x\)