To solve \(\frac{12}{15} \div \frac{24}{45}\), follow these steps:

1. **Rewrite the division as multiplication**: 
   \[
   \frac{12}{15} \div \frac{24}{45} = \frac{12}{15} \times \frac{45}{24}
   \]
   In division of fractions, we multiply by the reciprocal of the second fraction.

2. **Simplify each fraction if possible**:
   \[
   \frac{12}{15} = \frac{4}{5} \quad \text{(divide both numerator and denominator by 3)}
   \]
   \[
   \frac{45}{24} = \frac{15}{8} \quad \text{(divide both numerator and denominator by 3)}
   \]

3. **Multiply the fractions**:
   \[
   \frac{4}{5} \times \frac{15}{8} = \frac{4 \times 15}{5 \times 8} = \frac{60}{40}
   \]

4. **Simplify the resulting fraction**:
   \[
   \frac{60}{40} = \frac{3}{2} \quad \text{(divide both numerator and denominator by 20)}
   \]

Thus, \(\frac{12}{15} \div \frac{24}{45} = \frac{3}{2}\).

Would you like more details or have any questions?

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Here are five related questions:
1. How do you divide fractions involving mixed numbers?
2. What is the reciprocal of a fraction?
3. How can you simplify complex fractions?
4. How do you convert improper fractions to mixed numbers?
5. What are the steps to multiply and divide decimals?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the divisor fraction.

Learn how to solve the division of fractions problem 12/15 divided by 24/45 step-by-step with detailed explanations. This problem involves dividing fractions and multiplying by the reciprocal of the divisor fraction. Suitable for students in Grades 6-8.

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