0.14285 as a Fraction Simplified
To convert the decimal number 0.14285 to a fraction, we can follow these steps:
Step 1: Convert to a Fraction
Let's convert the decimal number 0.14285 to a fraction:
0.14285 = 14285/100000
Step 2: Simplify the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (14285) and the denominator (100000).
Using the Euclidean algorithm, we find that the GCD is 5. Therefore, we can divide both the numerator and the denominator by 5:
14285 ÷ 5 = 2857 100000 ÷ 5 = 20000
So, the simplified fraction is:
0.14285 = 2857/20000
Conclusion
The decimal number 0.14285 can be converted to a fraction and simplified to:
2857/20000
This is the simplest form of the fraction.
