12. $$ 1 \frac{1}{2} imes 2 \frac{1}{5} $$ Make sure you simplify if possible!

Question

12. $$ 1 \frac{1}{2} 	imes 2 \frac{1}{5} $$ Make sure you simplify if possible!

UpStudy AI · Accepted Answer

To solve the multiplication of the mixed numbers $$ 1 \frac{1}{2} \times 2 \frac{1}{5} $$, follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions

1. **Convert $$ 1 \frac{1}{2} $$:**
   $$
   1 \frac{1}{2} = \frac{(1 \times 2) + 1}{2} = \frac{3}{2}
   $$

2. **Convert $$ 2 \frac{1}{5} $$:**
   $$
   2 \frac{1}{5} = \frac{(2 \times 5) + 1}{5} = \frac{11}{5}
   $$

### Step 2: Multiply the Improper Fractions

$$
\frac{3}{2} \times \frac{11}{5} = \frac{3 \times 11}{2 \times 5} = \frac{33}{10}
$$

### Step 3: Simplify the Result (Convert Back to a Mixed Number)

$$
\frac{33}{10} = 3 \frac{3}{10}
$$

### Final Answer

$$
1 \frac{1}{2} \times 2 \frac{1}{5} = 3 \frac{3}{10}
$$
$$ 1 \frac{1}{2} \times 2 \frac{1}{5} = 3 \frac{3}{10} $$

12. \( 1 \frac{1}{2} \times 2 \frac{1}{5} \) Make sure you simplify if possible!