https://file.aiquickdraw.com/mathbot/file/1728658438119s1zufs7e.jpg

The task in the image asks to calculate \( \frac{1}{4} \div \frac{1}{5} \) and simplify the result. Here's the step-by-step solution:

1. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, 

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

2. Now, multiply the numerators and denominators:

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

3. The fraction \( \frac{5}{4} \) is already in its simplest form, but we can also express it as a mixed number:

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

So, the answer is either \( \frac{5}{4} \) or \( 1 \frac{1}{4} \).

Let me know if you'd like further details or clarification on any part of this! 

Here are five related questions to expand on this topic:
1. How do you multiply fractions?
2. What is the reciprocal of a fraction and when do you use it?
3. How do you convert an improper fraction to a mixed number?
4. What is the rule for dividing fractions in general?
5. Can you simplify fractions before multiplying them?

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

Copy and complete the working below to calculate 1/4 ÷ 1/5. Give your answer in its simplest form.

This page explains how to calculate 1/4 ÷ 1/5 using the reciprocal theorem. Follow the step-by-step guide to multiply fractions and simplify the result. Perfect for Grades 5-7, the solution involves multiplying by the reciprocal to get 5/4.

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