To solve the division of \( 2 \frac{1}{3} \) by 6, let's break it down step by step.

### Step 1: Convert the mixed number into an improper fraction
\( 2 \frac{1}{3} \) can be written as:
\[
2 \frac{1}{3} = \frac{7}{3}
\]
because \( 2 \times 3 + 1 = 7 \).

### Step 2: Divide the improper fraction by 6
Dividing by 6 is the same as multiplying by the reciprocal of 6, which is \( \frac{1}{6} \):
\[
\frac{7}{3} \div 6 = \frac{7}{3} \times \frac{1}{6} = \frac{7}{18}
\]

### Final Answer:
\[
\frac{7}{18}
\]

Let me know if you'd like more details on this or have any questions!

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Here are some related questions to expand on this:

1. How do you convert improper fractions back into mixed numbers?
2. What is \( \frac{7}{18} \) as a decimal?
3. How would you multiply two fractions together?
4. Can you simplify \( \frac{7}{18} \) further?
5. How do you convert a mixed number to a decimal directly?

**Tip**: When dividing fractions, always remember that division is the same as multiplying by the reciprocal of the divisor.

Solve the division of 2 1/3 by 6 with this easy step-by-step guide. Learn how to convert mixed numbers to improper fractions and divide using reciprocals. Perfect for students in Grades 5-7 who are learning about fraction operations.

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