Convert `0.0125` to the lowest form of fraction.

Answer

To convert the decimal `0.0125` to the lowest form of fraction, follow these steps:

### Step 1: Identify the decimal
We start with the decimal number `0.0125`.

### Step 2: Remove the decimal point
To convert the decimal to a fraction, we need to express it as a fraction of integers. Since there are four digits after the decimal point, we can write:
\[ 0.0125 = \frac{125}{10000} \]
Here, we have moved the decimal point four places to the right, which means we divide by \(10,000\) (or multiply by \(10,000\) in the denominator).

### Step 3: Simplify the fraction
Now, we need to simplify the fraction \(\frac{125}{10000}\). We will find the greatest common divisor (GCD) of the numerator and the denominator to reduce the fraction.

1. **Divide both the numerator and the denominator by 5** (the GCD):
\[ \frac{125 \div 5}{10000 \div 5} = \frac{25}{2000} \]

2. **Divide again by 5**:
\[ \frac{25 \div 5}{2000 \div 5} = \frac{5}{400} \]

3. **Divide once more by 5**:
\[ \frac{5 \div 5}{400 \div 5} = \frac{1}{80} \]

### Final Answer
Thus, the decimal `0.0125` can be expressed in the lowest form of fraction as:
\[ \frac{1}{80} \]

---