Divide 3570 in the ratio $$ 2 \frac{1}{5}: \frac{3}{5} $$

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To divide 3,570 in the ratio $$ 2 \frac{1}{5} : \frac{3}{5} $$, follow these steps:

1. **Convert Mixed Numbers to Improper Fractions:**
   $$
   2 \frac{1}{5} = \frac{11}{5} \quad \text{and} \quad \frac{3}{5} \text{ remains the same.}
   $$

2. **Simplify the Ratio:**
   $$
   \frac{11}{5} : \frac{3}{5} = 11 : 3
   $$
   (Since both parts have the same denominator, you can ignore it.)

3. **Calculate Total Parts:**
   $$
   11 + 3 = 14 \text{ parts}
   $$

4. **Determine the Value of Each Part:**
   $$
   \text{Each part} = \frac{3,570}{14} = 255
   $$

5. **Allocate the Shares:**
   - **First Share (11 parts):**
     $$
     11 \times 255 = 2,805
     $$
   - **Second Share (3 parts):**
     $$
     3 \times 255 = 765
     $$

6. **Verification:**
   $$
   2,805 + 765 = 3,570 \quad \text{(which matches the original amount)}
   $$

**Final Answer:**
- The first part is **2,805**
- The second part is **765**
The first part is 2,805 and the second part is 765.

Divide 3570 in the ratio \( 2 \frac{1}{5}: \frac{3}{5} \)

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