https://file.aiquickdraw.com/mathbot/file/1726686218178qy00udvj.jpg

is the answer to this question 9/32 (fraction form)

Let's work through the problem step by step.

The given expression is:

\[
\frac{1}{4} \div \frac{8}{9}
\]

### Step 1: Change Division to Multiplication
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of \(\frac{8}{9}\) is \(\frac{9}{8}\).

\[
\frac{1}{4} \times \frac{9}{8}
\]

### Step 2: Multiply the Fractions
Multiply the numerators together and the denominators together:

\[
\frac{1 \times 9}{4 \times 8} = \frac{9}{32}
\]

So yes, the answer is indeed:

\[
\frac{9}{32}
\]

Would you like further details or have any questions?

Here are 5 related questions for you:
1. How do you multiply two fractions?
2. What is the reciprocal of a fraction, and why is it used in division?
3. How do you simplify a fraction if possible?
4. Can you apply these steps to solve \(\frac{3}{5} \div \frac{2}{7}\)?
5. How does dividing fractions differ from multiplying them?

**Tip**: Always remember to simplify your final answer if possible.

Perform the operation and simplify the answer fully. 
1/4 ÷ 8/9

Learn how to divide fractions with a detailed solution for 1/4 divided by 8/9. This guide covers the multiplication of fractions, use of reciprocals, and simplifying fractions. Perfect for middle school students mastering arithmetic operations.

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