0.0125 Expressed in Fraction
Converting Decimal to Fraction
In this article, we will explore how to convert the decimal number 0.0125 to a fraction.
The Conversion Process
To convert a decimal to a fraction, we need to follow these steps:
- Write the decimal number as a fraction with a denominator of 1: 0.0125 = 0.0125/1
- Multiply both the numerator and the denominator by 10 for every decimal place: Since 0.0125 has four decimal places, we multiply both the numerator and the denominator by 10^4 = 10,000.
0.0125/1 = (0.0125 * 10,000)/(1 * 10,000) = 125/10,000
Simplifying the Fraction
Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 125 and 10,000 is 125.
125/10,000 = (125 ÷ 125)/(10,000 ÷ 125) = 1/80
The Final Answer
Therefore, 0.0125 expressed in fraction is 1/80.
We have successfully converted the decimal number 0.0125 to a fraction in its simplest form.
