The expression \( \frac{3}{4} \div 9 \) can be simplified by following these steps:

### Step 1: Rewrite the division
Dividing by a number is the same as multiplying by its reciprocal. So we rewrite the expression as:

\[
\frac{3}{4} \div 9 = \frac{3}{4} \times \frac{1}{9}
\]

### Step 2: Multiply the fractions
To multiply fractions, multiply the numerators together and the denominators together:

\[
\frac{3 \times 1}{4 \times 9} = \frac{3}{36}
\]

### Step 3: Simplify the fraction
Now, simplify \( \frac{3}{36} \). The greatest common divisor (GCD) of 3 and 36 is 3, so divide both the numerator and the denominator by 3:

\[
\frac{3}{36} = \frac{1}{12}
\]

### Final Answer:
\[
\frac{3}{4} \div 9 = \frac{1}{12}
\]

Would you like further details or have any questions?

Here are 5 related questions to expand on this topic:

1. How do you multiply fractions like \( \frac{3}{4} \times \frac{2}{5} \)?
2. How do you divide fractions, such as \( \frac{5}{6} \div \frac{7}{8} \)?
3. What is the process for simplifying a fraction like \( \frac{18}{24} \)?
4. How can you find the reciprocal of a fraction?
5. How do you convert a fraction to a decimal?

**Tip**: Always simplify the fraction at the end to its lowest terms for a cleaner result.

Learn how to divide and simplify fractions with the example 3/4 ÷ 9. This step-by-step guide covers key concepts in fraction division and simplification, providing a clear solution suitable for Grades 5-7 math students.

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