Answer
$\dfrac{6x^{2}}{10x^{3}}\cdot\dfrac{5x}{12}=\dfrac{1}{4}$
Work Step by Step
$\dfrac{6x^{2}}{10x^{3}}\cdot\dfrac{5x}{12}$
Multiply both rational expressions and simplify by removing the repeated factors in the numerator and the denominator:
$\dfrac{6x^{2}}{10x^{3}}\cdot\dfrac{5x}{12}=\dfrac{30x^{3}}{120x^{3}}=\dfrac{30}{120}=\dfrac{1}{4}$