Multiply. $$ 3 \frac{1}{2} \times 1 \frac{2}{5} $$ Write your answer as a mixed number in simplest form.

Question

UpStudy AI · Accepted Answer

To multiply the mixed numbers $$ 3 \frac{1}{2} $$ and $$ 1 \frac{2}{5} $$, follow these steps:

1. **Convert to Improper Fractions:**
   $$
   3 \frac{1}{2} = \frac{7}{2}, \quad 1 \frac{2}{5} = \frac{7}{5}
   $$

2. **Multiply the Improper Fractions:**
   $$
   \frac{7}{2} \times \frac{7}{5} = \frac{49}{10}
   $$

3. **Convert Back to a Mixed Number:**
   $$
   \frac{49}{10} = 4 \frac{9}{10}
   $$

So, the product of $$ 3 \frac{1}{2} \times 1 \frac{2}{5} $$ is:

$$
4 \frac{9}{10}
$$
The product is $$ 4 \frac{9}{10} $$.

Multiply.

Write your answer as a mixed number in simplest form.