Evaluate the expression: (2.28 - 1 7/25) : 4/9 - 0.375 : 1/6

Let's break down the calculation step-by-step:

1. First, calculate the value inside the parentheses:
   • Convert 2.28 to a fraction: $$2.28 = \frac{228}{100} = \frac{57}{25}$$
   • Convert the mixed number to an improper fraction: $$1 \frac{7}{25} = \frac{(1 \times 25) + 7}{25} = \frac{25 + 7}{25} = \frac{32}{25}$$
   • Now subtract: $$\( \frac{57}{25} - \frac{32}{25} = \frac{25}{25} = 1 \)$$
2. Perform the division:
   • $$\( 1 : \frac{4}{9} \)$$
   • Dividing by a fraction is the same as multiplying by its reciprocal: $$\( 1 \times \frac{9}{4} = \frac{9}{4} \)$$
3. Convert 0.375 to a fraction:
   • $$0.375 = \frac{375}{1000}$$
   • Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 125: $$\( \frac{375 \div 125}{1000 \div 125} = \frac{3}{8} \)$$
4. Perform the second division:
   • $$\( \frac{3}{8} : \frac{1}{6} \)$$
   • Multiply by the reciprocal: $$\( \frac{3}{8} \times \frac{6}{1} \)$$
   • Multiply the numerators and the denominators: $$\( \frac{3 \times 6}{8 \times 1} = \frac{18}{8} \)$$
   • Simplify the fraction: $$\( \frac{18}{8} = \frac{9}{4} \)$$
5. Finally, subtract the results:
   • $$\( \frac{9}{4} - \frac{9}{4} = 0 \)$$

Ответ: 0