Write 0.125 as a fraction.
Understand the Problem
The question is asking how to express the decimal number 0.125 as a fraction. To solve it, we need to find an equivalent fraction that represents the same value as the decimal.
Answer
The fraction that represents the decimal 0.125 is $\frac{1}{8}$.
Answer for screen readers
The fraction that represents the decimal 0.125 is $\frac{1}{8}$.
Steps to Solve
- Write the decimal as a fraction
We start by writing the decimal number as a fraction. Since 0.125 has three decimal places, we can represent it as:
$$ \frac{125}{1000} $$
- Simplify the fraction
Next, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator (125) and the denominator (1000). The GCD of 125 and 1000 is 125.
So, we divide both the numerator and the denominator by 125:
$$ \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} $$
- Final simplified result
The simplified fraction that represents the decimal 0.125 is:
$$ \frac{1}{8} $$
The fraction that represents the decimal 0.125 is $\frac{1}{8}$.
More Information
0.125 is a common decimal that represents one-eighth of a whole. Understanding how to convert decimals to fractions is a helpful skill in both everyday situations and advanced math.
Tips
- A common mistake is forgetting to simplify the fraction completely. Always check for the greatest common divisor to ensure your answer is in its simplest form.
