https://r2.erweima.ai/mathbot/image/1727031816673a7dqm4z3.jpg

The expression given in the image is:

\[
\frac{4}{5} \left[ \left( 22 - \frac{8}{7} \right) \left( 17 - \frac{5}{4} \right) \right]
\]

### Step-by-step solution:

1. **Simplify inside the parentheses:**

   \[
   22 - \frac{8}{7}
   \]
   To subtract the fraction, express 22 as \( \frac{154}{7} \) (since \( 22 = \frac{154}{7} \)):
   
   \[
   \frac{154}{7} - \frac{8}{7} = \frac{154 - 8}{7} = \frac{146}{7}
   \]

   Now, for the second part:
   
   \[
   17 - \frac{5}{4}
   \]
   Express 17 as \( \frac{68}{4} \) (since \( 17 = \frac{68}{4} \)):
   
   \[
   \frac{68}{4} - \frac{5}{4} = \frac{68 - 5}{4} = \frac{63}{4}
   \]

2. **Multiply the results:**

   Now, multiply the two fractions:

   \[
   \frac{146}{7} \times \frac{63}{4}
   \]
   Multiply numerators and denominators:
   
   \[
   \frac{146 \times 63}{7 \times 4} = \frac{9198}{28}
   \]

   Simplify the fraction:

   \[
   \frac{9198}{28} = 328.5
   \]

3. **Multiply by \(\frac{4}{5}\):**

   Now, multiply by the coefficient outside the bracket:
   
   \[
   \frac{4}{5} \times 328.5 = \frac{4 \times 328.5}{5} = \frac{1314}{5} = 262.8
   \]

Thus, the final result is **262.8**.

---

Would you like more details or have any questions about this solution? 

Here are 5 related questions for practice:

1. Simplify: \(\frac{3}{4} \left[ \left( 12 - \frac{5}{6} \right) \left( 8 - \frac{3}{2} \right) \right]\).
2. Solve: \(\frac{2}{3} \left( 10 - \frac{7}{5} \right) \left( 9 - \frac{4}{3} \right)\).
3. Calculate the value of: \(\frac{5}{6} \left( \frac{20}{3} - \frac{4}{9} \right)\).
4. Simplify: \( \left( 25 - \frac{9}{8} \right) \left( 30 - \frac{11}{6} \right)\).
5. Find the result of: \( \frac{7}{9} \left( 15 - \frac{6}{5} \right)\).

**Tip:** When subtracting fractions from whole numbers, express the whole number with the same denominator as the fraction to make subtraction easier!

Aplique las propiedades de las operaciones con números reales trabajadas en clase, para ejecutar las siguientes operaciones: 4/5 * [(22 - 8/7) * (17 - 5/4)]

Learn how to simplify and multiply fractions using real number properties. This step-by-step guide shows how to calculate 4/5 * [(22 - 8/7) * (17 - 5/4)], covering fraction subtraction, multiplication, and real number operations. Ideal for students in Grades 8-10.

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