-0,4*0,6*(-4 1/6)

To calculate \(-0.4 \times 0.6 \times (-4 \frac{1}{6})\), we'll first convert the mixed number into an improper fraction.

The mixed number \(-4 \frac{1}{6}\) can be converted as follows:

• Multiply the whole number (4) by the denominator (6): \(4 \times 6 = 24\)
• Add the numerator (1) to this result: \(24 + 1 = 25\)
• So \(-4 \frac{1}{6} = -\frac{25}{6}\)

Now we can rewrite the expression: \[ -0.4 \times 0.6 \times \left(-\frac{25}{6}\right) \]

Next, we can calculate each part:

1. Calculate \(-0.4 \times 0.6\): \(-0.4 \times 0.6 = -0.24\)

2. Now, multiply \(-0.24\) by \(-\frac{25}{6}\): \(-0.24 \times -\frac{25}{6} = 0.24 \times \frac{25}{6} = \frac{0.24 \times 25}{6}\)

Calculating \(0.24 \times 25\):

• \(0.24 \times 25 = 6\)

So, we have: \[ \frac{6}{6} = 1 \]

Thus, the final result is: \[ \boxed{1} \]