Solve Complex Fraction Expression: (a²/2)÷(a/3)-(3a+12÷(4a·3))

Question

$\frac{a^2}{2}:\frac{a}{3}-(3a+12:(4a\cdot3))=\text{?}$

00:00 Solve

00:03 Division is also multiplication by the reciprocal

00:12 Negative times positive always equals negative

00:22 Write division as a fraction

00:29 Reduce what we can

00:42 Convert from fraction to number

00:48 Collect terms

00:53 And this is the solution to the question

$-1.5a-\frac{1}{a}$