Find one-fifth of three-eighth of one-third of 11760.

Options

A. 294
B. 645
C. 467
D. 598

Answer

To solve the problem step by step, we will find one-fifth of three-eighth of one-third of 11760.

### Step-by-Step Solution:

1. **Identify the operations**: We need to find one-fifth of three-eighth of one-third of 11760. This can be expressed mathematically as:
\[ \text{Result} = \frac{1}{5} \times \frac{3}{8} \times \frac{1}{3} \times 11760 \]

2. **Calculate one-third of 11760**:
\[ \frac{1}{3} \times 11760 = \frac{11760}{3} = 3920 \]

3. **Calculate three-eighth of 3920**:
\[ \frac{3}{8} \times 3920 = \frac{3 \times 3920}{8} = \frac{11760}{8} = 1470 \]

4. **Calculate one-fifth of 1470**:
\[ \frac{1}{5} \times 1470 = \frac{1470}{5} = 294 \]

5. **Final Result**:
\[ \text{Result} = 294 \]

### Conclusion:
The answer to the question is **294**.