The smallest rational number by which `1/3` should be multiplied so that its decimal expansion terminate after one place of decimal, is
(a) `1/(10)`
(b) `3/(10)`
(c) `3`
(d) `30`

Explanation

To solve the problem, we need to find the smallest rational number by which \( \frac{1}{3} \) should be multiplied so that its decimal expansion terminates after one place of decimal.

### Step-by-step Solution:

1. **Understanding Terminating Decimals**:
A decimal expansion of a fraction terminates if, after simplification, the denominator has only the prime factors 2 and/or 5. Since we want the decimal to terminate after one place, we need the resulting fraction to have a denominator that is a power of 10 (i.e., \( 10^1 = 10 \)).

2. **Current Denominator**:
...