If A's one day's work is `(3)/(20)`, then A can finish the whole work in ……… days.

Answer

To find out how many days A can finish the whole work if A's one day's work is \( \frac{3}{20} \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Work Done in One Day**:
A's one day's work is given as \( \frac{3}{20} \). This means that in one day, A completes \( \frac{3}{20} \) of the total work.

2. **Determine the Total Work**:
Let's assume the total work is represented as 1 (or 100% of the work).

3. **Calculate the Number of Days to Complete the Work**:
To find out how many days A will take to complete the whole work, we can use the formula:
\[ \text{Number of Days} = \frac{\text{Total Work}}{\text{Work Done in One Day}} \]
Substituting the values we have:
\[ \text{Number of Days} = \frac{1}{\frac{3}{20}} = 1 \times \frac{20}{3} = \frac{20}{3} \]

4. **Convert to Mixed Fraction**:
Now, we can convert \( \frac{20}{3} \) into a mixed fraction:
- Divide 20 by 3, which gives 6 with a remainder of 2.
- So, \( \frac{20}{3} = 6 \frac{2}{3} \).

5. **Final Answer**:
Therefore, A can finish the whole work in \( 6 \frac{2}{3} \) days.

### Summary:
A can finish the whole work in \( 6 \frac{2}{3} \) days.