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Which could be used to evaluate the expression $-6\left(4 \frac{2}{3}\right)$ ?
$(-6)(4)+(-6)\left(\frac{2}{3}\right)$
$(-6)(4) \times(-6)\left(\frac{2}{3}\right)$
$(-6+4)+\left(-6+\frac{2}{3}\right)$
$(-6+4) \times\left(-6+\frac{2}{3}\right)$

Answer

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Answer

So, the final answer is $\boxed{-28}$.

Steps

Step 1 ：Distribute -6 to both 4 and $\frac{2}{3}$, which gives us $(-6)(4)+(-6)\left(\frac{2}{3}\right)$.

Step 2 ：Calculate $(-6)(4) = -24$ and $(-6)\left(\frac{2}{3}\right) = -4$.

Step 3 ：Add the results: $-24 - 4 = -28$.

Step 4 ：Therefore, $-6\left(4 \frac{2}{3}\right) = -28$.

Step 5 ：So, the final answer is $\boxed{-28}$.