https://r2.erweima.ai/mathbot/image/1727198241260wnq8b7t2.jpg

The problem shown in the image asks to solve the following expression:

\[
\frac{4}{3} \div \left( \frac{1}{3} + \frac{2}{6} \right) - \frac{3}{4}
\]

### Step-by-step solution:

1. **Simplify inside the parentheses:**
   \[
   \frac{1}{3} + \frac{2}{6}
   \]
   To add fractions, they must have the same denominator. Convert \(\frac{2}{6}\) to \(\frac{1}{3}\):
   \[
   \frac{1}{3} + \frac{1}{3} = \frac{2}{3}
   \]

2. **Substitute this into the original expression:**
   \[
   \frac{4}{3} \div \frac{2}{3} - \frac{3}{4}
   \]

3. **Perform the division:**
   \[
   \frac{4}{3} \div \frac{2}{3} = \frac{4}{3} \times \frac{3}{2} = \frac{4 \times 3}{3 \times 2} = \frac{12}{6} = 2
   \]

4. **Substitute the result back:**
   \[
   2 - \frac{3}{4}
   \]

5. **Perform the subtraction:**
   To subtract \(2 - \frac{3}{4}\), convert 2 to a fraction:
   \[
   2 = \frac{8}{4}
   \]
   Now subtract:
   \[
   \frac{8}{4} - \frac{3}{4} = \frac{5}{4}
   \]

### Final Answer:
\[
\frac{5}{4}
\]

Would you like further details or have any questions? Here are five related questions to consider:

1. How do you divide fractions?
2. What is the process of adding fractions with different denominators?
3. How can you convert a mixed number to an improper fraction?
4. What is the benefit of simplifying inside parentheses first?
5. How do you perform subtraction with fractions?

**Tip:** Always remember to simplify fractions wherever possible before performing operations.

Realiza las siguientes operaciones: 4/3 ÷ (1/3 + 2/6) - 3/4

Learn how to solve the expression 4/3 ÷ (1/3 + 2/6) - 3/4 with a detailed step-by-step solution. This problem covers fraction operations including addition, division, and subtraction, suitable for students in Grades 6-8.

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