Answer
$\left\{-6, -\frac{12}{4}, -\frac{5}{8}, 0, \frac{1}{4}, 1, 3\right\}$
Work Step by Step
RECALL:
Rational numbers are numbers that can be expressed as $\dfrac{a}{b}$ where a and b are integers and $b\ne 0$.
Writing the elements of A that can be expressed as $\dfrac{a}{b}$ gives:
$-6=\frac{-12}{2}$
$-\frac{12}{4}=\frac{12}{4}$
$-\frac{5}{8} = -\frac{5}{8}$
$0 = \frac{0}{1}$
$\frac{1}{4} = \frac{1}{4}$
$1 = \frac{2}{2}$
$3 = \frac{6}{2}$
All of the numbers above are rational numbers.
Thus, the elements of $A$ that are elements of the set of rational numbers are:
$\left\{-6, -\frac{12}{4}, -\frac{5}{8}, 0, \frac{1}{4}, 1, 3\right\}$
