5,6:1 1/6-4,8

To calculate the expression \(5.6 : 1 \frac{1}{6} - 4.8\), we need to break it down step by step.

1. Convert mixed number to improper fraction: \[ 1 \frac{1}{6} = 1 + \frac{1}{6} = \frac{6}{6} + \frac{1}{6} = \frac{7}{6} \]

2. Convert the division (ratio) into multiplication: \[ 5.6 : \frac{7}{6} = 5.6 \times \frac{6}{7} \]

3. Calculate \(5.6 \times \frac{6}{7}\): Convert \(5.6\) into a fraction: \[ 5.6 = \frac{56}{10} = \frac{28}{5} \] Now multiply: \[ \frac{28}{5} \times \frac{6}{7} = \frac{28 \times 6}{5 \times 7} = \frac{168}{35} \] Simplifying \(\frac{168}{35}\): \[ 168 = 7 \times 24 \quad \text{and} \quad 35 = 7 \times 5 \quad \Rightarrow \quad \frac{168}{35} = \frac{24}{5} = 4.8 \]

4. Now perform the subtraction: \[ 4.8 - 4.8 = 0 \]

Thus, the result of the calculation \(5.6 : 1 \frac{1}{6} - 4.8\) is \(0\).