To solve \(\frac{5}{8} \div \frac{1}{7}\), we use the rule that dividing by a fraction is equivalent to multiplying by its reciprocal. 

So,

\[
\frac{5}{8} \div \frac{1}{7} = \frac{5}{8} \times \frac{7}{1} = \frac{5 \times 7}{8 \times 1} = \frac{35}{8}
\]

The result is \(\frac{35}{8}\), which can also be written as \(4 \frac{3}{8}\) or approximately 4.375.

Would you like more details on this calculation or any further explanation?

Here are 5 related questions:
1. How do you convert a fraction to a decimal?
2. What is the reciprocal of a fraction and how is it used?
3. How do you simplify fractions?
4. How do you perform multiplication and division with mixed numbers?
5. What are some applications of dividing fractions in real life?

**Tip:** Always remember that dividing by a fraction is the same as multiplying by its reciprocal.

Learn how to solve the problem of dividing fractions: 5/8 divided by 1/7 with a detailed step-by-step solution. Understand the concept of dividing fractions using the reciprocal rule. Suitable for students in Grades 5-7.

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