Multiply. $$ \frac{3}{4} \times 4 \frac{1}{2} $$ Write your answer as a mixed number in simplest form.

Question

UpStudy AI · Accepted Answer

To multiply $$\frac{3}{4}$$ by $$4 \frac{1}{2}$$, follow these steps:

1. **Convert the mixed number to an improper fraction:**
   $$
   4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{9}{2}
   $$

2. **Multiply the fractions:**
   $$
   \frac{3}{4} \times \frac{9}{2} = \frac{3 \times 9}{4 \times 2} = \frac{27}{8}
   $$

3. **Convert the improper fraction back to a mixed number:**
   $$
   \frac{27}{8} = 3 \frac{3}{8}
   $$

**Final Answer:** $$3 \frac{3}{8}$$
The answer is $$3 \frac{3}{8}$$.

Multiply.

Write your answer as a mixed number in simplest form.