Question

Perform the indicated operation of multiplication or division on the rational and and simplify.

Answer 1

Consider the given expression,

$\frac{12}{5y^3}\div\frac{18}{y^3}$

Consider the analogy,

$\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$

Then the given expression becomes,

$\begin{gathered} =\frac{12}{5y^3}\times\frac{y^3}{18} \\ =\frac{2}{5}\times\frac{1}{3} \\ =\frac{2}{15} \end{gathered}$

Thus, the simplification of the expression gives 2/15.