To solve the expression \( 8:0,16 - 3 \frac{3}{4} \times 6,4 \), we first need to clarify the notation.
Assuming the following:
- The colon ':' represents division.
- Commas in numbers are used as decimal points (common in some cultures); thus, \( 0,16 \) = \( 0.16 \) and \( 6,4 \) = \( 6.4 \).
- The mixed number \( 3 \frac{3}{4} \) can be converted into an improper fraction or a decimal.
Let's break this down step by step:
Convert the mixed number \( 3 \frac{3}{4} \): \[ 3 \frac{3}{4} = 3 + \frac{3}{4} = \frac{12}{4} + \frac{3}{4} = \frac{15}{4} \]
Calculate \( 8 : 0.16 \) (which is \( 8 / 0.16 \)): \[ 8 \div 0.16 = 8 \times \frac{100}{16} = 8 \times 6.25 = 50 \]
Calculate \( \frac{15}{4} \times 6.4 \):
- First convert \( 6.4 \) to a fraction: \( 6.4 = \frac{64}{10} = \frac{32}{5} \) \[ \frac{15}{4} \times \frac{32}{5} = \frac{15 \times 32}{4 \times 5} = \frac{480}{20} = 24 \]
Putting it all together: \[ 50 - 24 = 26 \]
So, the final result is: \[ \boxed{26} \]
