To solve the expression \( \frac{36}{\frac{3}{4}} \), you can follow these steps:

1. **Rewrite the division as multiplication:**  
   Dividing by a fraction is the same as multiplying by its reciprocal. So,  
   \[
   \frac{36}{\frac{3}{4}} = 36 \times \frac{4}{3}
   \]

2. **Multiply the numbers:**  
   Now, multiply 36 by \(\frac{4}{3}\):  
   \[
   36 \times \frac{4}{3} = \frac{36 \times 4}{3} = \frac{144}{3}
   \]

3. **Simplify the fraction:**  
   Simplify \(\frac{144}{3}\):  
   \[
   \frac{144}{3} = 48
   \]

So, \( \frac{36}{\frac{3}{4}} = 48 \).

Would you like more details or have any questions?

Here are five related questions:
1. What is the reciprocal of a fraction, and how do you find it?
2. How would you simplify the expression \( \frac{48}{\frac{2}{5}} \)?
3. Can you solve \( \frac{72}{\frac{4}{7}} \) using the same method?
4. How does multiplying by a fraction compare to multiplying by a whole number?
5. What is the difference between dividing by a fraction and multiplying by a fraction?

**Tip:** Always remember that dividing by a fraction is equivalent to multiplying by its reciprocal.

Learn how to solve the expression \( \frac{36}{\frac{3}{4}} \) step-by-step with a detailed explanation and solution. This problem covers division of fractions, including how to multiply by the reciprocal. Suitable for students in Grades 4-6.

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