What is two-third of half of 369 ?

Options

A. 123
B. 246
C. `246(3)/(8)`
D. `271(3)/(4)`

Answer

To solve the question "What is two-thirds of half of 369?", we can break it down into steps.

### Step-by-Step Solution:

1. **Find Half of 369**:
To find half of 369, we can multiply 369 by \( \frac{1}{2} \):
\[ \text{Half of 369} = \frac{1}{2} \times 369 = \frac{369}{2} \]
Calculating this gives:
\[ \frac{369}{2} = 184.5 \]

2. **Find Two-Thirds of Half of 369**:
Now, we need to find two-thirds of the result we just calculated (which is 184.5). We can express this as:
\[ \text{Two-thirds of } 184.5 = \frac{2}{3} \times 184.5 \]
To calculate this, we multiply:
\[ \frac{2}{3} \times 184.5 = \frac{2 \times 184.5}{3} \]
First, calculate \( 2 \times 184.5 \):
\[ 2 \times 184.5 = 369 \]
Now, divide by 3:
\[ \frac{369}{3} = 123 \]

3. **Final Result**:
Therefore, two-thirds of half of 369 is:
\[ \text{Final Answer} = 123 \]