To solve \(\frac{3}{4} \div \frac{9}{6}\), we can follow these steps:

### Step 1: Rewrite as multiplication
When dividing by a fraction, we multiply by its reciprocal:
\[
\frac{3}{4} \div \frac{9}{6} = \frac{3}{4} \times \frac{6}{9}
\]

### Step 2: Multiply the fractions
Now, multiply the numerators and the denominators:
\[
\frac{3 \times 6}{4 \times 9} = \frac{18}{36}
\]

### Step 3: Simplify the result
Now, simplify \(\frac{18}{36}\):
\[
\frac{18}{36} = \frac{1}{2}
\]

So, \(\frac{3}{4} \div \frac{9}{6} = \frac{1}{2}\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you multiply fractions with whole numbers?
2. How do you add two fractions like \(\frac{3}{4} + \frac{9}{6}\)?
3. What is the reciprocal of a fraction, and why is it used in division?
4. How do you simplify more complex fractions like \(\frac{45}{90}\)?
5. How do you divide mixed numbers by fractions?

**Tip:** Always simplify fractions by finding the greatest common divisor (GCD) of the numerator and denominator!

Learn how to divide fractions with a step-by-step guide to solving 3/4 ÷ 9/6. This problem demonstrates how to rewrite the division as multiplication by the reciprocal and includes key concepts such as simplifying fractions. Suitable for students in Grades 5-7.

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