Let's simplify the given expression step-by-step.
We need to simplify:
[tex]$6(-4)\left(-\frac{5}{6}\right)\left(-\frac{3}{4}\right)$[/tex]
### Step 1: Multiply the first two factors
First, multiply [tex]\(6\)[/tex] by [tex]\(-4\)[/tex]:
[tex]$6 \times (-4) = -24$[/tex]
### Step 2: Multiply the result from step 1 with the third factor
Next, take the result [tex]\(-24\)[/tex] and multiply it by [tex]\(\left(-\frac{5}{6}\right)\)[/tex]:
[tex]$-24 \times \left(-\frac{5}{6}\right) = 20.0$[/tex]
### Step 3: Multiply the result from step 2 with the fourth factor
Finally, take the result [tex]\(20.0\)[/tex] and multiply it by [tex]\(\left(-\frac{3}{4}\right)\)[/tex]:
[tex]$20.0 \times \left(-\frac{3}{4}\right) = -15.0$[/tex]
So, the result of simplifying the expression
[tex]$6(-4)\left(-\frac{5}{6}\right)\left(-\frac{3}{4}\right)$[/tex]
is [tex]\(-15.0\)[/tex].
