Convert The Given Decimals into Fraction With Solution: 0.125

To convert the decimal \(0.125\) into a fraction, follow these steps:

### Step-by-step Solution:

1. **Write the Decimal as a Fraction:**
   \[
   0.125 = \frac{125}{1000}
   \]
   This is because \(0.125\) can be read as "125 thousandths," which is the same as \( \frac{125}{1000} \).

2. **Simplify the Fraction:**
   - Find the Greatest Common Divisor (GCD) of the numerator and the denominator. The GCD of 125 and 1000 is 125.
   - Divide both the numerator and the denominator by their GCD.

   \[
   \frac{125 \div 125}{1000 \div 125} = \frac{1}{8}
   \]

3. **Final Answer:**
   \[
   0.125 = \frac{1}{8}
   \]

The decimal \(0.125\) is equivalent to the fraction \(\frac{1}{8}\).

Would you like more details or have any questions about this conversion? 

### Related Questions:
1. How do you convert a repeating decimal into a fraction?
2. What is the process to convert \(0.75\) into a fraction?
3. How can you simplify a fraction to its lowest terms?
4. How do you convert a mixed decimal like \(1.25\) to a fraction?
5. What is the fractional form of \(0.3333\ldots\) (repeating 3)?

### Tip:
When converting a decimal to a fraction, always consider the place value of the last digit. This helps in writing the correct fraction before simplifying.

Learn how to convert the decimal 0.125 into a fraction with a detailed step-by-step solution. This problem covers the key concepts of decimal to fraction conversion and simplifying fractions using the Greatest Common Divisor (GCD). Suitable for students in Grades 5-7.

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