Express 0.014 in the from `p/q`.

Answer

To express the decimal 0.014 in the form of \( \frac{p}{q} \), we can follow these steps:

### Step 1: Write the decimal as a fraction
We start with the decimal number 0.014. To express it as a fraction, we can write it as:
\[ 0.014 = \frac{14}{1000} \]
Here, we have moved the decimal point three places to the right, which means we divide by \( 1000 \) (since \( 10^3 = 1000 \)).

### Step 2: Simplify the fraction
Next, we need to simplify the fraction \( \frac{14}{1000} \). We can do this by finding the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 14 and 1000 is 2. We divide both the numerator and the denominator by 2:
\[ \frac{14 \div 2}{1000 \div 2} = \frac{7}{500} \]

### Step 3: Write the final answer
Now we have expressed 0.014 in the form \( \frac{p}{q} \):
\[ 0.014 = \frac{7}{500} \]

### Final Answer:
Thus, the final answer is:
\[ \frac{7}{500} \]

---