6) \((\frac{0,3125 \cdot 1\frac{1}{5}+\frac{11}{40}}{(\frac{18}{25}-0,39):\frac{33}{50}})\)

Let's solve this complex expression step-by-step!

1. Numerator:
   • Convert decimals to fractions:

     \[ 0.3125 = \frac{3125}{10000} = \frac{5}{16} \]

     \[ 1\frac{1}{5} = \frac{6}{5} \]

   • Calculate the product:

     \[ \frac{5}{16} \cdot \frac{6}{5} = \frac{6}{16} = \frac{3}{8} \]

   • Add the fractions:

     \[ \frac{3}{8} + \frac{11}{40} = \frac{3 \times 5}{8 \times 5} + \frac{11}{40} = \frac{15}{40} + \frac{11}{40} = \frac{26}{40} = \frac{13}{20} \]

2. Denominator:
   • Convert decimal to fraction:

     \[ 0.39 = \frac{39}{100} \]

   • Find a common denominator for \(\frac{18}{25}\) and \(\frac{39}{100}\). The common denominator is 100.

     \[ \frac{18}{25} = \frac{18 \times 4}{25 \times 4} = \frac{72}{100} \]

   • Subtract the fractions:

     \[ \frac{72}{100} - \frac{39}{100} = \frac{33}{100} \]

   • Divide by \(\frac{33}{50}\):

     \[ \frac{33}{100} : \frac{33}{50} = \frac{33}{100} \times \frac{50}{33} = \frac{50}{100} = \frac{1}{2} \]

3. Divide the numerator by the denominator:

   \[ \frac{13}{20} : \frac{1}{2} = \frac{13}{20} \times \frac{2}{1} = \frac{26}{20} = \frac{13}{10} \]

Answer: \(\frac{13}{10}\)