To solve:

\[
5 \frac{1}{6} - 3 \frac{4}{6}
\]

### Step 1: Convert to Improper Fractions
1. \(5 \frac{1}{6} = \frac{5 \times 6 + 1}{6} = \frac{31}{6}\)
2. \(3 \frac{4}{6} = \frac{3 \times 6 + 4}{6} = \frac{22}{6}\)

### Step 2: Subtract the Fractions
\[
\frac{31}{6} - \frac{22}{6} = \frac{31 - 22}{6} = \frac{9}{6}
\]

### Step 3: Simplify the Result
\[
\frac{9}{6} = \frac{3}{2} = 1 \frac{1}{2}
\]

### Final Answer:
\[
5 \frac{1}{6} - 3 \frac{4}{6} = 1 \frac{1}{2}
\]

Would you like more details or have any questions?

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1. How do you add or subtract mixed numbers?
2. What steps are needed to convert mixed numbers into improper fractions?
3. How do you simplify a fraction?
4. Why is it useful to convert mixed numbers to improper fractions for operations?
5. What are other methods to solve mixed-number subtraction?

**Tip:** Always simplify fractions at the end to ensure your answer is in its simplest form.

Learn how to subtract mixed numbers with a detailed step-by-step solution for 5 and 1/6 - 3 and 4/6. This solution demonstrates converting mixed numbers to improper fractions, subtracting fractions with the same denominator, and simplifying the result. Suitable for students in Grades 5-6.

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