Answer
The statement makes sense
Work Step by Step
The value of the expression \[\frac{|3-7|-{{2}^{3}}}{\left( -2 \right)\left( -3 \right)}\] is calculated as,
\[\begin{align}
& \frac{|3-7|-{{2}^{3}}}{\left( -2 \right)\left( -3 \right)}=\frac{4-8}{\left( -2 \right)\left( -3 \right)} \\
& =\frac{-4}{\left( -2 \right)\left( -3 \right)} \\
& =-\frac{2}{3}
\end{align}\]
Subtraction of \[\frac{1}{3}\] from \[-\frac{1}{3}\] gives \[-\frac{2}{3}\].
Both are equal. Therefore, the statement makes sense.
