https://file.aiquickdraw.com/mathbot/file/1725436843793ubocsfef.jpg

The problem shown in the image is asking to simplify the expression:

\[
\frac{1}{4} \div \frac{1}{5}
\]

To solve this, you need to understand the rule for dividing fractions, which is to multiply by the reciprocal of the divisor. The reciprocal of \(\frac{1}{5}\) is \(\frac{5}{1}\).

So the expression becomes:

\[
\frac{1}{4} \times \frac{5}{1} = \frac{1 \times 5}{4 \times 1} = \frac{5}{4}
\]

This simplifies to \(\frac{5}{4}\), which can also be written as a mixed number: \(1 \frac{1}{4}\).

Since the options provided are:

- \(\frac{1}{2}\)
- \(\frac{4}{5}\)
- \(\frac{1}{4}\)
- \(\frac{5}{4}\)

The correct answer is \(\frac{5}{4}\).

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How do you multiply and divide fractions?
2. What are some examples of dividing fractions by whole numbers?
3. How do you convert improper fractions to mixed numbers?
4. Can you explain how to simplify fractions?
5. What is the reciprocal of a fraction, and why is it used in division?

**Tip:** When dividing fractions, remember to multiply by the reciprocal of the second fraction!

Learn how to simplify the fraction division expression 1/4 ÷ 1/5 by multiplying by the reciprocal. This problem is suitable for students in Grades 5-6 and covers essential concepts such as fraction division and reciprocals.

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