https://file.aiquickdraw.com/mathbot/file/17261487845191ebdh0nm.jpg

The image shows the following mathematical expression:

\[
\left(\frac{1}{5} \div \frac{2}{3}\right) \div \frac{1}{4}
\]

Let's break it down and solve it step by step.

### Step 1: Solve the first division inside the parentheses
\[
\frac{1}{5} \div \frac{2}{3} = \frac{1}{5} \times \frac{3}{2} = \frac{1 \times 3}{5 \times 2} = \frac{3}{10}
\]

### Step 2: Solve the outer division
Now we need to divide \(\frac{3}{10}\) by \(\frac{1}{4}\):
\[
\frac{3}{10} \div \frac{1}{4} = \frac{3}{10} \times \frac{4}{1} = \frac{3 \times 4}{10 \times 1} = \frac{12}{10}
\]

### Step 3: Simplify the result
\[
\frac{12}{10} = \frac{6}{5}
\]

Thus, the final result is \(\frac{6}{5}\), or \(1.2\) in decimal form.

Would you like more details on any step?

Here are 5 related questions to expand on this topic:
1. How do you simplify complex fractions?
2. What is the rule for dividing fractions?
3. How do you convert a mixed number back to a fraction?
4. Can you show how to multiply and divide mixed numbers?
5. How do you convert a fraction result into a decimal?

**Tip:** When dividing fractions, remember that dividing is the same as multiplying by the reciprocal of the second fraction.

Learn how to solve the fraction division problem (1/5 ÷ 2/3) ÷ 1/4 with a step-by-step breakdown. This problem covers key fraction concepts, including division and multiplication of fractions, making it suitable for students in Grades 6-8.

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