2 × 2 1 4

To multiply the fractions $2 \times \frac{9}{4}$, let's first express the whole number $2$ as a fraction. We can write $2$ as $\frac{2}{1}$.

Now, we multiply:

$\frac{2}{1} \times \frac{9}{4} = \frac{2 \times 9}{1 \times 4} = \frac{18}{4}$

Next, simplify the fraction $\frac{18}{4}$. Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:

$\frac{18}{4} = \frac{18 \div 2}{4 \div 2} = \frac{9}{2}$

Now, $\frac{9}{2}$ is an improper fraction, but we can also express it as a mixed number:

$\frac{9}{2} = 4 \frac{1}{2}$

So, the answer is $4 \frac{1}{2}$ or $\frac{9}{2}$.

Would you like more details or have any further questions?

Here are 5 related questions to explore:

1. How do you convert an improper fraction to a mixed number?
2. What is the process to simplify a fraction?
3. Can you multiply a fraction by a whole number using the same method?
4. How do you handle mixed numbers in multiplication?
5. What is the greatest common divisor (GCD) of 18 and 4?

Tip: When simplifying fractions, always divide both the numerator and the denominator by their GCD to get the simplest form.