Let's solve the expression step by step.

The expression is:

\[
\left(\frac{4.6}{4} + \frac{24}{3}\right) \times \frac{1}{28}
\]

1. **Calculate each fraction:**
   \[
   \frac{4.6}{4} = 1.15
   \]
   \[
   \frac{24}{3} = 8
   \]

2. **Add the results:**
   \[
   1.15 + 8 = 9.15
   \]

3. **Multiply by \(\frac{1}{28}\):**
   \[
   9.15 \times \frac{1}{28} = \frac{9.15}{28} \approx 0.3268
   \]

So, the final answer is approximately **0.3268**.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. What is the result of \(\frac{7.8}{6} + \frac{30}{5}\) multiplied by \(\frac{1}{20}\)?
2. How do you simplify complex fractions like \(\frac{(3.2/4 + 10/2)}{5}\)?
3. What is the importance of the order of operations in solving expressions?
4. How does changing the divisor in a fraction affect the final result?
5. What are some strategies for approximating decimal results?

**Tip:** Always simplify expressions inside parentheses first before applying other operations like multiplication or division.

Learn how to solve the expression (4.6 divided by 4 plus 24 divided by 3) times 1 divided by 28 with a detailed step-by-step solution. This problem involves fractions, order of operations, and decimal approximations. Suitable for students in Grades 7-9.

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