To solve \( 3 \frac{5}{6} \times \frac{1}{23} \):

1. Convert the mixed number to an improper fraction:
   \[
   3 \frac{5}{6} = \frac{3 \times 6 + 5}{6} = \frac{18 + 5}{6} = \frac{23}{6}
   \]

2. Now multiply the two fractions:
   \[
   \frac{23}{6} \times \frac{1}{23} = \frac{23 \times 1}{6 \times 23} = \frac{23}{138}
   \]

3. Simplify the fraction:
   \[
   \frac{23}{138} = \frac{1}{6} \quad (\text{since} \ 23 \div 23 = 1 \ \text{and} \ 138 \div 23 = 6)
   \]

So, \( 3 \frac{5}{6} \times \frac{1}{23} = \frac{1}{6} \).

Would you like more details, or do you have any questions?

Here are 8 related questions for practice:

1. Simplify \( 2 \frac{1}{4} \times \frac{3}{7} \).
2. Multiply \( 4 \frac{2}{3} \times \frac{5}{16} \).
3. Simplify \( \frac{3}{8} \times \frac{2}{9} \).
4. What is \( 5 \frac{3}{5} \times \frac{4}{11} \)?
5. Divide \( \frac{7}{12} \div 2 \frac{1}{2} \).
6. Simplify \( 6 \frac{7}{8} \times \frac{9}{13} \).
7. What is \( \frac{1}{5} \times 3 \frac{4}{5} \)?
8. Find \( 2 \frac{1}{3} \times \frac{7}{9} \).

**Tip:** Always simplify fractions when possible to make calculations easier.

Learn how to multiply the mixed number 3 5/6 by the fraction 1/23 with a detailed step-by-step solution. This problem covers key concepts in fractions and multiplication of fractions. Suitable for students in Grades 5-6.

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