https://file.aiquickdraw.com/mathbot/file/1726555211041c4bu5alt.jpg

The problem given in the image is to solve the expression:

\[
8 \div 1 \frac{2}{5}
\]

### Step-by-step solution:

1. **Convert the mixed number** \( 1 \frac{2}{5} \) into an improper fraction:
   - \( 1 \frac{2}{5} \) can be rewritten as:
     \[
     \frac{5 \times 1 + 2}{5} = \frac{7}{5}
     \]

2. **Rewrite the division problem** as multiplication by the reciprocal:
   - Division by a fraction is equivalent to multiplying by its reciprocal. So:
     \[
     8 \div \frac{7}{5} = 8 \times \frac{5}{7}
     \]

3. **Multiply the fractions**:
   - \( 8 \) can be written as \( \frac{8}{1} \), so:
     \[
     \frac{8}{1} \times \frac{5}{7} = \frac{8 \times 5}{1 \times 7} = \frac{40}{7}
     \]

4. **Convert the improper fraction** \( \frac{40}{7} \) to a mixed number:
   - Divide \( 40 \) by \( 7 \), which gives \( 5 \) as the quotient and \( 5 \) as the remainder. Thus:
     \[
     \frac{40}{7} = 5 \frac{5}{7}
     \]

### Final Answer:
The result is:
\[
5 \frac{5}{7}
\]

Would you like further clarification on any of the steps?

### Relative Questions:
1. How do you convert a mixed number to an improper fraction?
2. What is the rule for dividing fractions?
3. How do you simplify improper fractions into mixed numbers?
4. Can you explain the process of multiplying fractions?
5. What are the steps to convert a division problem into a multiplication problem?

### Tip:
Always check your final answer to ensure it is in its simplest form or lowest terms.

Work out 8 ÷ 1 2/5. Give your answer as a whole number or as a mixed number in its lowest terms.

This problem involves dividing 8 by a mixed number, 1 2/5. The solution includes converting the mixed number to an improper fraction, multiplying by the reciprocal, and simplifying the result to a mixed number in its lowest terms. Suitable for students in Grades 5-6.

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