0.0125 as a Fraction in Simplest Form
What is 0.0125 as a Fraction?
The decimal number 0.0125 can be converted to a fraction in simplest form. To do this, we need to find the equivalent fraction that has the same value as the decimal.
Step-by-Step Conversion
Step 1: Write the decimal number 0.0125 as a fraction with a denominator of 10,000 (since there are four decimal places).
0.0125 = 125/10,000
Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 125 and 10,000 is 25.
125 ÷ 25 = 5 10,000 ÷ 25 = 400
So, the simplified fraction is:
0.0125 = 5/400
Step 3: Further simplify the fraction by dividing both the numerator and denominator by their GCD again.
The GCD of 5 and 400 is 5.
5 ÷ 5 = 1 400 ÷ 5 = 80
So, the simplest form of the fraction is:
0.0125 = 1/80
Conclusion
In conclusion, the decimal number 0.0125 is equal to the fraction 1/80 in simplest form.
