https://file.aiquickdraw.com/mathbot/file/1729821582466j3ox7wk4.jpg

The problem you have uploaded is asking to find the quotient:

\[
4 \div \frac{9}{2}
\]

To solve this, you can rewrite the division of a whole number by a fraction as multiplication by the reciprocal of the fraction. This means:

\[
4 \div \frac{9}{2} = 4 \times \frac{2}{9}
\]

Now, multiply the numerators and the denominators:

\[
4 \times \frac{2}{9} = \frac{4 \times 2}{9} = \frac{8}{9}
\]

So, the quotient is:

\[
\frac{8}{9}
\]

Would you like further clarification on this? 

Here are five related questions:
1. What happens if you divide a fraction by a whole number instead of the other way around?
2. How do you simplify the product of two fractions?
3. What is the reciprocal of a mixed number?
4. Can you explain why dividing by a fraction is the same as multiplying by its reciprocal?
5. How do you convert an improper fraction to a mixed number?

**Tip:** When dividing by fractions, always remember to multiply by the reciprocal—it simplifies the calculation!

Learn how to solve the division of a whole number by a fraction, specifically 4 ÷ 9/2, by multiplying by the reciprocal. This problem covers basic fraction division concepts, using multiplication of reciprocals for students in Grades 6-7.

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