To solve \( 5 \frac{1}{6} - 3 \frac{4}{6} \):

1. Convert both mixed numbers into improper fractions:
   - \( 5 \frac{1}{6} = \frac{31}{6} \)
   - \( 3 \frac{4}{6} = \frac{22}{6} \)

2. Now, subtract the improper fractions:
   \[
   \frac{31}{6} - \frac{22}{6} = \frac{9}{6}
   \]

3. Simplify \(\frac{9}{6}\) by dividing both the numerator and denominator by 3:
   \[
   \frac{9}{6} = \frac{3}{2} = 1 \frac{1}{2}
   \]

So, \( 5 \frac{1}{6} - 3 \frac{4}{6} = 1 \frac{1}{2} \).

Would you like further explanation or have any questions?

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1. How do you convert mixed numbers to improper fractions?
2. How can you add or subtract mixed numbers directly?
3. What’s the process for simplifying improper fractions?
4. How do you handle subtraction if the fractional part of the minuend is smaller than the subtrahend?
5. How do you convert an improper fraction back to a mixed number?

**Tip:** Always simplify fractions if possible to make the answer clearer.

Learn how to subtract mixed numbers like 5 and 1/6 - 3 and 4/6 with a step-by-step solution. This problem covers concepts of mixed numbers, converting them to improper fractions, and simplifying results. Ideal for students in Grades 5-7.

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