Yes, the equation \( \frac{3}{7} \div \frac{1}{4} = \frac{3}{7} \times \frac{4}{1} \) is correct. 

Here's why:

### Division of Fractions Rule:
To divide by a fraction, you multiply by its reciprocal. The reciprocal of a fraction is obtained by swapping its numerator and denominator.

In this case, dividing \( \frac{3}{7} \) by \( \frac{1}{4} \) can be written as:
\[
\frac{3}{7} \div \frac{1}{4} = \frac{3}{7} \times \frac{4}{1}
\]
So, \( \frac{3}{7} \div \frac{1}{4} \) is indeed the same as \( \frac{3}{7} \times \frac{4}{1} \).

Do you want details or have any questions?

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**Related Questions:**

1. How do you multiply two fractions?
2. What is the result of \( \frac{3}{7} \times \frac{4}{1} \)?
3. Can you divide two fractions directly without converting them?
4. How do you find the reciprocal of a fraction?
5. What are the steps to simplify a fraction after multiplication?
6. How do you add or subtract fractions with different denominators?
7. What are some real-life applications of fraction multiplication?
8. How do you convert a mixed number to an improper fraction?

**Tip:** Always simplify your final answer in fraction problems, if possible.

Explore the solution to the fraction division problem 3/7 ÷ 1/4 = 3/7 × 4/1. Understand how to divide fractions by multiplying by the reciprocal, with a step-by-step explanation. Suitable for students in Grades 5-8.

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