To simplify the expression \( 4 : \frac{3}{9} \), first interpret the division symbol as follows:

\[
4 \div \frac{3}{9}
\]

Dividing by a fraction is the same as multiplying by its reciprocal, so:

\[
4 \times \frac{9}{3}
\]

Simplify \( \frac{9}{3} = 3 \), so the expression becomes:

\[
4 \times 3 = 12
\]

Thus, \( 4 : \frac{3}{9} = 12 \).

Would you like more details or have any questions?

Here are 5 related questions you might find useful:

1. How do you divide by a fraction in general?
2. What is the reciprocal of a fraction?
3. How do you multiply fractions with whole numbers?
4. Can division by fractions result in larger numbers?
5. How can the division of fractions be visualized?

**Tip:** When dividing by a fraction, always multiply by its reciprocal to simplify the calculation.

Learn how to simplify the expression 4 : 3/9 by dividing with fractions. This detailed solution includes the step-by-step process of multiplying by the reciprocal. Suitable for students in Grades 5-7, covering core concepts like fractions and division.

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