Indian has a fleet of 28 naval ships, Pakistan has 14 naval ships and Bangladesh has 2 naval ships. Find the ratio of the sizes of three feets, in lowest terms.

Options

A. `16:9:6`
B. `15:8:3`
C. `24:4:1`
D. `14:7:1`

Answer

To find the ratio of the sizes of the naval fleets of India, Pakistan, and Bangladesh in their lowest terms, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of naval ships for each country:**
- India has 28 naval ships.
- Pakistan has 14 naval ships.
- Bangladesh has 2 naval ships.

2. **Write the ratio of the naval ships:**
- The ratio can be written as:
\[ \text{Ratio} = \text{India : Pakistan : Bangladesh} = 28 : 14 : 2 \]

3. **Find the greatest common divisor (GCD) of the numbers:**
- The GCD of 28, 14, and 2 is 2.

4. **Divide each number in the ratio by the GCD:**
- Divide 28 by 2:
\[ \frac{28}{2} = 14 \]
- Divide 14 by 2:
\[ \frac{14}{2} = 7 \]
- Divide 2 by 2:
\[ \frac{2}{2} = 1 \]

5. **Write the simplified ratio:**
- The simplified ratio is:
\[ 14 : 7 : 1 \]

### Final Answer:
The ratio of the sizes of the naval fleets of India, Pakistan, and Bangladesh in lowest terms is:
\[ \text{India : Pakistan : Bangladesh} = 14 : 7 : 1 \]